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Finding the Fourth Proportional to 3,542.57, 5,309.22 and 1,460.15

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Solution

The fourth proportional to 3,542.57, 5,309.22 and 1,460.15 is: 2,188.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.57 : 5,309.22 = 1,460.15 : x
  2. Step 2: Convert to fraction form
    3,542.57/5,309.22 = 1,460.15/x
  3. Step 3: Cross multiply
    3,542.57x = 5,309.22 × 1,460.15
  4. Step 4: Simplify right side
    3,542.57x = 7,752,270.86
  5. Step 5: Solve for x
    x = 7,752,270.86/3,542.57
  6. Step 6: Final answer
    x = 2,188.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.