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Finding the Fourth Proportional to 3,714.71, 5,572.92 and 2,156.02

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Solution

The fourth proportional to 3,714.71, 5,572.92 and 2,156.02 is: 3,234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.71 : 5,572.92 = 2,156.02 : x
  2. Step 2: Convert to fraction form
    3,714.71/5,572.92 = 2,156.02/x
  3. Step 3: Cross multiply
    3,714.71x = 5,572.92 × 2,156.02
  4. Step 4: Simplify right side
    3,714.71x = 12,015,313.55
  5. Step 5: Solve for x
    x = 12,015,313.55/3,714.71
  6. Step 6: Final answer
    x = 3,234.52

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Why These Related Problems?

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