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Finding the Fourth Proportional to 6,448.51, 8,898.69 and 3,654.01

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Solution

The fourth proportional to 6,448.51, 8,898.69 and 3,654.01 is: 5,042.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.51 : 8,898.69 = 3,654.01 : x
  2. Step 2: Convert to fraction form
    6,448.51/8,898.69 = 3,654.01/x
  3. Step 3: Cross multiply
    6,448.51x = 8,898.69 × 3,654.01
  4. Step 4: Simplify right side
    6,448.51x = 32,515,902.25
  5. Step 5: Solve for x
    x = 32,515,902.25/6,448.51
  6. Step 6: Final answer
    x = 5,042.39

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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.