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Finding the Fourth Proportional to 6,598.47, 9,105.99 and 3,614.58

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Solution

The fourth proportional to 6,598.47, 9,105.99 and 3,614.58 is: 4,988.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.47 : 9,105.99 = 3,614.58 : x
  2. Step 2: Convert to fraction form
    6,598.47/9,105.99 = 3,614.58/x
  3. Step 3: Cross multiply
    6,598.47x = 9,105.99 × 3,614.58
  4. Step 4: Simplify right side
    6,598.47x = 32,914,329.33
  5. Step 5: Solve for x
    x = 32,914,329.33/6,598.47
  6. Step 6: Final answer
    x = 4,988.18

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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.