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Finding the Fourth Proportional to 6,592.40, 9,097.42 and 3,608.16

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Solution

The fourth proportional to 6,592.40, 9,097.42 and 3,608.16 is: 4,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.40 : 9,097.42 = 3,608.16 : x
  2. Step 2: Convert to fraction form
    6,592.40/9,097.42 = 3,608.16/x
  3. Step 3: Cross multiply
    6,592.40x = 9,097.42 × 3,608.16
  4. Step 4: Simplify right side
    6,592.40x = 32,824,946.95
  5. Step 5: Solve for x
    x = 32,824,946.95/6,592.40
  6. Step 6: Final answer
    x = 4,979.21

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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.