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Finding the Fourth Proportional to 5,931.97, 8,889.75 and 5,049.88

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Solution

The fourth proportional to 5,931.97, 8,889.75 and 5,049.88 is: 7,567.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.97 : 8,889.75 = 5,049.88 : x
  2. Step 2: Convert to fraction form
    5,931.97/8,889.75 = 5,049.88/x
  3. Step 3: Cross multiply
    5,931.97x = 8,889.75 × 5,049.88
  4. Step 4: Simplify right side
    5,931.97x = 44,892,148.51
  5. Step 5: Solve for x
    x = 44,892,148.51/5,931.97
  6. Step 6: Final answer
    x = 7,567.83

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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.