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Finding the Fourth Proportional to 4,363.68, 6,541.92 and 4,119.18

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Solution

The fourth proportional to 4,363.68, 6,541.92 and 4,119.18 is: 6,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363.68 : 6,541.92 = 4,119.18 : x
  2. Step 2: Convert to fraction form
    4,363.68/6,541.92 = 4,119.18/x
  3. Step 3: Cross multiply
    4,363.68x = 6,541.92 × 4,119.18
  4. Step 4: Simplify right side
    4,363.68x = 26,947,346.03
  5. Step 5: Solve for x
    x = 26,947,346.03/4,363.68
  6. Step 6: Final answer
    x = 6,175.37

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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.