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Finding the Fourth Proportional to 3,714.86, 5,572.91 and 1,766.41

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Solution

The fourth proportional to 3,714.86, 5,572.91 and 1,766.41 is: 2,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.86 : 5,572.91 = 1,766.41 : x
  2. Step 2: Convert to fraction form
    3,714.86/5,572.91 = 1,766.41/x
  3. Step 3: Cross multiply
    3,714.86x = 5,572.91 × 1,766.41
  4. Step 4: Simplify right side
    3,714.86x = 9,844,043.95
  5. Step 5: Solve for x
    x = 9,844,043.95/3,714.86
  6. Step 6: Final answer
    x = 2,649.91

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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.