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Finding the Fourth Proportional to 3,712.59, 5,560.67 and 1,514.66

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Solution

The fourth proportional to 3,712.59, 5,560.67 and 1,514.66 is: 2,268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.59 : 5,560.67 = 1,514.66 : x
  2. Step 2: Convert to fraction form
    3,712.59/5,560.67 = 1,514.66/x
  3. Step 3: Cross multiply
    3,712.59x = 5,560.67 × 1,514.66
  4. Step 4: Simplify right side
    3,712.59x = 8,422,500.41
  5. Step 5: Solve for x
    x = 8,422,500.41/3,712.59
  6. Step 6: Final answer
    x = 2,268.63

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