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Finding the Fourth Proportional to 4,366.40, 6,542.40 and 4,107.20

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Solution

The fourth proportional to 4,366.40, 6,542.40 and 4,107.20 is: 6,154.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,366.40 : 6,542.40 = 4,107.20 : x
  2. Step 2: Convert to fraction form
    4,366.40/6,542.40 = 4,107.20/x
  3. Step 3: Cross multiply
    4,366.40x = 6,542.40 × 4,107.20
  4. Step 4: Simplify right side
    4,366.40x = 26,870,945.28
  5. Step 5: Solve for x
    x = 26,870,945.28/4,366.40
  6. Step 6: Final answer
    x = 6,154.03

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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.