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Finding the Fourth Proportional to 3,142.76, 4,714.65 and 1,062.89

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Solution

The fourth proportional to 3,142.76, 4,714.65 and 1,062.89 is: 1,594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.76 : 4,714.65 = 1,062.89 : x
  2. Step 2: Convert to fraction form
    3,142.76/4,714.65 = 1,062.89/x
  3. Step 3: Cross multiply
    3,142.76x = 4,714.65 × 1,062.89
  4. Step 4: Simplify right side
    3,142.76x = 5,011,154.34
  5. Step 5: Solve for x
    x = 5,011,154.34/3,142.76
  6. Step 6: Final answer
    x = 1,594.51

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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.