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Finding the Fourth Proportional to 4,398.40, 6,590.40 and 4,139.20

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Solution

The fourth proportional to 4,398.40, 6,590.40 and 4,139.20 is: 6,202.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,398.40 : 6,590.40 = 4,139.20 : x
  2. Step 2: Convert to fraction form
    4,398.40/6,590.40 = 4,139.20/x
  3. Step 3: Cross multiply
    4,398.40x = 6,590.40 × 4,139.20
  4. Step 4: Simplify right side
    4,398.40x = 27,278,983.68
  5. Step 5: Solve for x
    x = 27,278,983.68/4,398.40
  6. Step 6: Final answer
    x = 6,202.02

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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.