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Finding the Fourth Proportional to 5,907.32, 8,861.01 and 1,524.47

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Solution

The fourth proportional to 5,907.32, 8,861.01 and 1,524.47 is: 2,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,907.32 : 8,861.01 = 1,524.47 : x
  2. Step 2: Convert to fraction form
    5,907.32/8,861.01 = 1,524.47/x
  3. Step 3: Cross multiply
    5,907.32x = 8,861.01 × 1,524.47
  4. Step 4: Simplify right side
    5,907.32x = 13,508,336.29
  5. Step 5: Solve for x
    x = 13,508,336.29/5,907.32
  6. Step 6: Final answer
    x = 2,286.71

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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.