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Finding the Fourth Proportional to 5,654.29, 7,802.43 and 3,296.65

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Solution

The fourth proportional to 5,654.29, 7,802.43 and 3,296.65 is: 4,549.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.29 : 7,802.43 = 3,296.65 : x
  2. Step 2: Convert to fraction form
    5,654.29/7,802.43 = 3,296.65/x
  3. Step 3: Cross multiply
    5,654.29x = 7,802.43 × 3,296.65
  4. Step 4: Simplify right side
    5,654.29x = 25,721,880.86
  5. Step 5: Solve for x
    x = 25,721,880.86/5,654.29
  6. Step 6: Final answer
    x = 4,549.09

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