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Finding the Fourth Proportional to 5,654,397.38, 7,802,477.89 and 3,206,225.84

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Solution

The fourth proportional to 5,654,397.38, 7,802,477.89 and 3,206,225.84 is: 4,424,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654,397.38 : 7,802,477.89 = 3,206,225.84 : x
  2. Step 2: Convert to fraction form
    5,654,397.38/7,802,477.89 = 3,206,225.84/x
  3. Step 3: Cross multiply
    5,654,397.38x = 7,802,477.89 × 3,206,225.84
  4. Step 4: Simplify right side
    5,654,397.38x = 25,016,506,179,918.72
  5. Step 5: Solve for x
    x = 25,016,506,179,918.72/5,654,397.38
  6. Step 6: Final answer
    x = 4,424,256.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.