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Finding the Fourth Proportional to 6,592.24, 9,097.24 and 3,608.02

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Solution

The fourth proportional to 6,592.24, 9,097.24 and 3,608.02 is: 4,979.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.24 : 9,097.24 = 3,608.02 : x
  2. Step 2: Convert to fraction form
    6,592.24/9,097.24 = 3,608.02/x
  3. Step 3: Cross multiply
    6,592.24x = 9,097.24 × 3,608.02
  4. Step 4: Simplify right side
    6,592.24x = 32,823,023.86
  5. Step 5: Solve for x
    x = 32,823,023.86/6,592.24
  6. Step 6: Final answer
    x = 4,979.04

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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.