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Finding the Fourth Proportional to 3,952.98, 5,922.99 and 2,002.50

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Solution

The fourth proportional to 3,952.98, 5,922.99 and 2,002.50 is: 3,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.98 : 5,922.99 = 2,002.50 : x
  2. Step 2: Convert to fraction form
    3,952.98/5,922.99 = 2,002.50/x
  3. Step 3: Cross multiply
    3,952.98x = 5,922.99 × 2,002.50
  4. Step 4: Simplify right side
    3,952.98x = 11,860,787.48
  5. Step 5: Solve for x
    x = 11,860,787.48/3,952.98
  6. Step 6: Final answer
    x = 3,000.47

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1.5x scale

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.