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Finding the Fourth Proportional to 3,951.12, 5,922.84 and 1,484.28

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Solution

The fourth proportional to 3,951.12, 5,922.84 and 1,484.28 is: 2,224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.12 : 5,922.84 = 1,484.28 : x
  2. Step 2: Convert to fraction form
    3,951.12/5,922.84 = 1,484.28/x
  3. Step 3: Cross multiply
    3,951.12x = 5,922.84 × 1,484.28
  4. Step 4: Simplify right side
    3,951.12x = 8,791,152.96
  5. Step 5: Solve for x
    x = 8,791,152.96/3,951.12
  6. Step 6: Final answer
    x = 2,224.98

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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.