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Finding the Fourth Proportional to 3,417.76, 5,127.30 and 1,337.68

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Solution

The fourth proportional to 3,417.76, 5,127.30 and 1,337.68 is: 2,006.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.76 : 5,127.30 = 1,337.68 : x
  2. Step 2: Convert to fraction form
    3,417.76/5,127.30 = 1,337.68/x
  3. Step 3: Cross multiply
    3,417.76x = 5,127.30 × 1,337.68
  4. Step 4: Simplify right side
    3,417.76x = 6,858,686.66
  5. Step 5: Solve for x
    x = 6,858,686.66/3,417.76
  6. Step 6: Final answer
    x = 2,006.78

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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.