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Finding the Fourth Proportional to 3,333.57, 5,001.12 and 1,142.30

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Solution

The fourth proportional to 3,333.57, 5,001.12 and 1,142.30 is: 1,713.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.57 : 5,001.12 = 1,142.30 : x
  2. Step 2: Convert to fraction form
    3,333.57/5,001.12 = 1,142.30/x
  3. Step 3: Cross multiply
    3,333.57x = 5,001.12 × 1,142.30
  4. Step 4: Simplify right side
    3,333.57x = 5,712,754.37
  5. Step 5: Solve for x
    x = 5,712,754.37/3,333.57
  6. Step 6: Final answer
    x = 1,713.70

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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.