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Finding the Fourth Proportional to 7,031.98, 10,549.59 and 2,649.52

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Solution

The fourth proportional to 7,031.98, 10,549.59 and 2,649.52 is: 3,974.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.98 : 10,549.59 = 2,649.52 : x
  2. Step 2: Convert to fraction form
    7,031.98/10,549.59 = 2,649.52/x
  3. Step 3: Cross multiply
    7,031.98x = 10,549.59 × 2,649.52
  4. Step 4: Simplify right side
    7,031.98x = 27,951,349.70
  5. Step 5: Solve for x
    x = 27,951,349.70/7,031.98
  6. Step 6: Final answer
    x = 3,974.89

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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.