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Finding the Fourth Proportional to 5,302.32, 7,949.64 and 4,000.56

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Solution

The fourth proportional to 5,302.32, 7,949.64 and 4,000.56 is: 5,997.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.32 : 7,949.64 = 4,000.56 : x
  2. Step 2: Convert to fraction form
    5,302.32/7,949.64 = 4,000.56/x
  3. Step 3: Cross multiply
    5,302.32x = 7,949.64 × 4,000.56
  4. Step 4: Simplify right side
    5,302.32x = 31,803,011.80
  5. Step 5: Solve for x
    x = 31,803,011.80/5,302.32
  6. Step 6: Final answer
    x = 5,997.94

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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.