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Finding the Fourth Proportional to 3,424.32, 5,139.12 and 1,477.20

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Solution

The fourth proportional to 3,424.32, 5,139.12 and 1,477.20 is: 2,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.32 : 5,139.12 = 1,477.20 : x
  2. Step 2: Convert to fraction form
    3,424.32/5,139.12 = 1,477.20/x
  3. Step 3: Cross multiply
    3,424.32x = 5,139.12 × 1,477.20
  4. Step 4: Simplify right side
    3,424.32x = 7,591,508.06
  5. Step 5: Solve for x
    x = 7,591,508.06/3,424.32
  6. Step 6: Final answer
    x = 2,216.94

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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.