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Finding the Fourth Proportional to 5,655.48, 8,472.24 and 3,182.76

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Solution

The fourth proportional to 5,655.48, 8,472.24 and 3,182.76 is: 4,767.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.48 : 8,472.24 = 3,182.76 : x
  2. Step 2: Convert to fraction form
    5,655.48/8,472.24 = 3,182.76/x
  3. Step 3: Cross multiply
    5,655.48x = 8,472.24 × 3,182.76
  4. Step 4: Simplify right side
    5,655.48x = 26,965,106.58
  5. Step 5: Solve for x
    x = 26,965,106.58/5,655.48
  6. Step 6: Final answer
    x = 4,767.96

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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.