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Finding the Fourth Proportional to 5,922.66, 8,882.92 and 1,539.85

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Solution

The fourth proportional to 5,922.66, 8,882.92 and 1,539.85 is: 2,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.66 : 8,882.92 = 1,539.85 : x
  2. Step 2: Convert to fraction form
    5,922.66/8,882.92 = 1,539.85/x
  3. Step 3: Cross multiply
    5,922.66x = 8,882.92 × 1,539.85
  4. Step 4: Simplify right side
    5,922.66x = 13,678,312.25
  5. Step 5: Solve for x
    x = 13,678,312.25/5,922.66
  6. Step 6: Final answer
    x = 2,309.49

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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.