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Finding the Fourth Proportional to 5,974.32, 8,957.88 and 3,507.96

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Solution

The fourth proportional to 5,974.32, 8,957.88 and 3,507.96 is: 5,259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.32 : 8,957.88 = 3,507.96 : x
  2. Step 2: Convert to fraction form
    5,974.32/8,957.88 = 3,507.96/x
  3. Step 3: Cross multiply
    5,974.32x = 8,957.88 × 3,507.96
  4. Step 4: Simplify right side
    5,974.32x = 31,423,884.72
  5. Step 5: Solve for x
    x = 31,423,884.72/5,974.32
  6. Step 6: Final answer
    x = 5,259.83

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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.