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Finding the Fourth Proportional to 6,598.54, 9,105.98 and 3,614.56

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Solution

The fourth proportional to 6,598.54, 9,105.98 and 3,614.56 is: 4,988.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.54 : 9,105.98 = 3,614.56 : x
  2. Step 2: Convert to fraction form
    6,598.54/9,105.98 = 3,614.56/x
  3. Step 3: Cross multiply
    6,598.54x = 9,105.98 × 3,614.56
  4. Step 4: Simplify right side
    6,598.54x = 32,914,111.07
  5. Step 5: Solve for x
    x = 32,914,111.07/6,598.54
  6. Step 6: Final answer
    x = 4,988.09

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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.