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Finding the Fourth Proportional to 3,714.92, 5,572.38 and 2,174.84

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Solution

The fourth proportional to 3,714.92, 5,572.38 and 2,174.84 is: 3,262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.92 : 5,572.38 = 2,174.84 : x
  2. Step 2: Convert to fraction form
    3,714.92/5,572.38 = 2,174.84/x
  3. Step 3: Cross multiply
    3,714.92x = 5,572.38 × 2,174.84
  4. Step 4: Simplify right side
    3,714.92x = 12,119,034.92
  5. Step 5: Solve for x
    x = 12,119,034.92/3,714.92
  6. Step 6: Final answer
    x = 3,262.26

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1.5x scale

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.