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Finding the Fourth Proportional to 3,419.66, 5,127.44 and 1,337.18

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Solution

The fourth proportional to 3,419.66, 5,127.44 and 1,337.18 is: 2,004.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.66 : 5,127.44 = 1,337.18 : x
  2. Step 2: Convert to fraction form
    3,419.66/5,127.44 = 1,337.18/x
  3. Step 3: Cross multiply
    3,419.66x = 5,127.44 × 1,337.18
  4. Step 4: Simplify right side
    3,419.66x = 6,856,303.53
  5. Step 5: Solve for x
    x = 6,856,303.53/3,419.66
  6. Step 6: Final answer
    x = 2,004.97

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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.