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Finding the Fourth Proportional to 5,654.29, 7,802.92 and 3,296.88

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Solution

The fourth proportional to 5,654.29, 7,802.92 and 3,296.88 is: 4,549.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.29 : 7,802.92 = 3,296.88 : x
  2. Step 2: Convert to fraction form
    5,654.29/7,802.92 = 3,296.88/x
  3. Step 3: Cross multiply
    5,654.29x = 7,802.92 × 3,296.88
  4. Step 4: Simplify right side
    5,654.29x = 25,725,301.35
  5. Step 5: Solve for x
    x = 25,725,301.35/5,654.29
  6. Step 6: Final answer
    x = 4,549.70

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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.