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Finding the Fourth Proportional to 5,310.61, 7,962.10 and 2,497.87

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Solution

The fourth proportional to 5,310.61, 7,962.10 and 2,497.87 is: 3,745.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.61 : 7,962.10 = 2,497.87 : x
  2. Step 2: Convert to fraction form
    5,310.61/7,962.10 = 2,497.87/x
  3. Step 3: Cross multiply
    5,310.61x = 7,962.10 × 2,497.87
  4. Step 4: Simplify right side
    5,310.61x = 19,888,290.73
  5. Step 5: Solve for x
    x = 19,888,290.73/5,310.61
  6. Step 6: Final answer
    x = 3,745.01

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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.