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Finding the Fourth Proportional to 5,714.48, 8,572.74 and 1,765.70

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Solution

The fourth proportional to 5,714.48, 8,572.74 and 1,765.70 is: 2,648.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.48 : 8,572.74 = 1,765.70 : x
  2. Step 2: Convert to fraction form
    5,714.48/8,572.74 = 1,765.70/x
  3. Step 3: Cross multiply
    5,714.48x = 8,572.74 × 1,765.70
  4. Step 4: Simplify right side
    5,714.48x = 15,136,869.68
  5. Step 5: Solve for x
    x = 15,136,869.68/5,714.48
  6. Step 6: Final answer
    x = 2,648.86

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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.