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Finding the Fourth Proportional to 3,542.29, 4,885.38 and 2,984.06

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Solution

The fourth proportional to 3,542.29, 4,885.38 and 2,984.06 is: 4,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.29 : 4,885.38 = 2,984.06 : x
  2. Step 2: Convert to fraction form
    3,542.29/4,885.38 = 2,984.06/x
  3. Step 3: Cross multiply
    3,542.29x = 4,885.38 × 2,984.06
  4. Step 4: Simplify right side
    3,542.29x = 14,578,279.26
  5. Step 5: Solve for x
    x = 14,578,279.26/3,542.29
  6. Step 6: Final answer
    x = 4,115.50

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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.