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Finding the Fourth Proportional to 4,352.60, 6,002.15 and 3,872.54

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Solution

The fourth proportional to 4,352.60, 6,002.15 and 3,872.54 is: 5,340.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,352.60 : 6,002.15 = 3,872.54 : x
  2. Step 2: Convert to fraction form
    4,352.60/6,002.15 = 3,872.54/x
  3. Step 3: Cross multiply
    4,352.60x = 6,002.15 × 3,872.54
  4. Step 4: Simplify right side
    4,352.60x = 23,243,535.95
  5. Step 5: Solve for x
    x = 23,243,535.95/4,352.60
  6. Step 6: Final answer
    x = 5,340.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.