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Finding the Fourth Proportional to 4,097.13, 5,654.52 and 2,329.00

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Solution

The fourth proportional to 4,097.13, 5,654.52 and 2,329.00 is: 3,214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.13 : 5,654.52 = 2,329.00 : x
  2. Step 2: Convert to fraction form
    4,097.13/5,654.52 = 2,329.00/x
  3. Step 3: Cross multiply
    4,097.13x = 5,654.52 × 2,329.00
  4. Step 4: Simplify right side
    4,097.13x = 13,169,337.16
  5. Step 5: Solve for x
    x = 13,169,337.16/4,097.13
  6. Step 6: Final answer
    x = 3,214.29

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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.