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Finding the Fourth Proportional to 5,714.50, 7,880.61 and 3,726.58

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Solution

The fourth proportional to 5,714.50, 7,880.61 and 3,726.58 is: 5,139.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.50 : 7,880.61 = 3,726.58 : x
  2. Step 2: Convert to fraction form
    5,714.50/7,880.61 = 3,726.58/x
  3. Step 3: Cross multiply
    5,714.50x = 7,880.61 × 3,726.58
  4. Step 4: Simplify right side
    5,714.50x = 29,367,723.61
  5. Step 5: Solve for x
    x = 29,367,723.61/5,714.50
  6. Step 6: Final answer
    x = 5,139.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.