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Finding the Fourth Proportional to 6,598.40, 9,105.77 and 3,614.42

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Solution

The fourth proportional to 6,598.40, 9,105.77 and 3,614.42 is: 4,987.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.40 : 9,105.77 = 3,614.42 : x
  2. Step 2: Convert to fraction form
    6,598.40/9,105.77 = 3,614.42/x
  3. Step 3: Cross multiply
    6,598.40x = 9,105.77 × 3,614.42
  4. Step 4: Simplify right side
    6,598.40x = 32,912,059.13
  5. Step 5: Solve for x
    x = 32,912,059.13/6,598.40
  6. Step 6: Final answer
    x = 4,987.88

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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.