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Finding the Fourth Proportional to 6,592.48, 9,097.63 and 3,608.31

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Solution

The fourth proportional to 6,592.48, 9,097.63 and 3,608.31 is: 4,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.48 : 9,097.63 = 3,608.31 : x
  2. Step 2: Convert to fraction form
    6,592.48/9,097.63 = 3,608.31/x
  3. Step 3: Cross multiply
    6,592.48x = 9,097.63 × 3,608.31
  4. Step 4: Simplify right side
    6,592.48x = 32,827,060.28
  5. Step 5: Solve for x
    x = 32,827,060.28/6,592.48
  6. Step 6: Final answer
    x = 4,979.47

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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.