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Finding the Fourth Proportional to 4,409.92, 6,614.88 and 4,098.88

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Solution

The fourth proportional to 4,409.92, 6,614.88 and 4,098.88 is: 6,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.92 : 6,614.88 = 4,098.88 : x
  2. Step 2: Convert to fraction form
    4,409.92/6,614.88 = 4,098.88/x
  3. Step 3: Cross multiply
    4,409.92x = 6,614.88 × 4,098.88
  4. Step 4: Simplify right side
    4,409.92x = 27,113,599.33
  5. Step 5: Solve for x
    x = 27,113,599.33/4,409.92
  6. Step 6: Final answer
    x = 6,148.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.