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Finding the Fourth Proportional to 3,334.59, 5,000.69 and 1,142.73

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Solution

The fourth proportional to 3,334.59, 5,000.69 and 1,142.73 is: 1,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.59 : 5,000.69 = 1,142.73 : x
  2. Step 2: Convert to fraction form
    3,334.59/5,000.69 = 1,142.73/x
  3. Step 3: Cross multiply
    3,334.59x = 5,000.69 × 1,142.73
  4. Step 4: Simplify right side
    3,334.59x = 5,714,432.77
  5. Step 5: Solve for x
    x = 5,714,432.77/3,334.59
  6. Step 6: Final answer
    x = 1,713.68

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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.