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Finding the Fourth Proportional to 3,714.67, 5,124.85 and 2,142.19

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Solution

The fourth proportional to 3,714.67, 5,124.85 and 2,142.19 is: 2,955.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.67 : 5,124.85 = 2,142.19 : x
  2. Step 2: Convert to fraction form
    3,714.67/5,124.85 = 2,142.19/x
  3. Step 3: Cross multiply
    3,714.67x = 5,124.85 × 2,142.19
  4. Step 4: Simplify right side
    3,714.67x = 10,978,402.42
  5. Step 5: Solve for x
    x = 10,978,402.42/3,714.67
  6. Step 6: Final answer
    x = 2,955.42

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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.