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Finding the Fourth Proportional to 4,909.92, 7,357.68 and 3,872.40

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Solution

The fourth proportional to 4,909.92, 7,357.68 and 3,872.40 is: 5,802.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.92 : 7,357.68 = 3,872.40 : x
  2. Step 2: Convert to fraction form
    4,909.92/7,357.68 = 3,872.40/x
  3. Step 3: Cross multiply
    4,909.92x = 7,357.68 × 3,872.40
  4. Step 4: Simplify right side
    4,909.92x = 28,491,880.03
  5. Step 5: Solve for x
    x = 28,491,880.03/4,909.92
  6. Step 6: Final answer
    x = 5,802.92

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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.