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Finding the Fourth Proportional to 4,337.28, 6,471 and 3,788.64

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Solution

The fourth proportional to 4,337.28, 6,471 and 3,788.64 is: 5,652.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.28 : 6,471 = 3,788.64 : x
  2. Step 2: Convert to fraction form
    4,337.28/6,471 = 3,788.64/x
  3. Step 3: Cross multiply
    4,337.28x = 6,471 × 3,788.64
  4. Step 4: Simplify right side
    4,337.28x = 24,516,289.44
  5. Step 5: Solve for x
    x = 24,516,289.44/4,337.28
  6. Step 6: Final answer
    x = 5,652.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.