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Finding the Fourth Proportional to 3,333.98, 5,001.17 and 1,142.73

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Solution

The fourth proportional to 3,333.98, 5,001.17 and 1,142.73 is: 1,714.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,333.98 : 5,001.17 = 1,142.73 : x
  2. Step 2: Convert to fraction form
    3,333.98/5,001.17 = 1,142.73/x
  3. Step 3: Cross multiply
    3,333.98x = 5,001.17 × 1,142.73
  4. Step 4: Simplify right side
    3,333.98x = 5,714,981.28
  5. Step 5: Solve for x
    x = 5,714,981.28/3,333.98
  6. Step 6: Final answer
    x = 1,714.16

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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.