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Finding the Fourth Proportional to 6,592.30, 9,097.38 and 3,608.13

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Solution

The fourth proportional to 6,592.30, 9,097.38 and 3,608.13 is: 4,979.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.30 : 9,097.38 = 3,608.13 : x
  2. Step 2: Convert to fraction form
    6,592.30/9,097.38 = 3,608.13/x
  3. Step 3: Cross multiply
    6,592.30x = 9,097.38 × 3,608.13
  4. Step 4: Simplify right side
    6,592.30x = 32,824,543.42
  5. Step 5: Solve for x
    x = 32,824,543.42/6,592.30
  6. Step 6: Final answer
    x = 4,979.22

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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.