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Finding the Fourth Proportional to 3,542.57, 5,334.52 and 2,624.63

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Solution

The fourth proportional to 3,542.57, 5,334.52 and 2,624.63 is: 3,952.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.57 : 5,334.52 = 2,624.63 : x
  2. Step 2: Convert to fraction form
    3,542.57/5,334.52 = 2,624.63/x
  3. Step 3: Cross multiply
    3,542.57x = 5,334.52 × 2,624.63
  4. Step 4: Simplify right side
    3,542.57x = 14,001,141.23
  5. Step 5: Solve for x
    x = 14,001,141.23/3,542.57
  6. Step 6: Final answer
    x = 3,952.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.