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Finding the Fourth Proportional to 7,298.88, 10,951.20 and 3,192

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Solution

The fourth proportional to 7,298.88, 10,951.20 and 3,192 is: 4,789.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.88 : 10,951.20 = 3,192 : x
  2. Step 2: Convert to fraction form
    7,298.88/10,951.20 = 3,192/x
  3. Step 3: Cross multiply
    7,298.88x = 10,951.20 × 3,192
  4. Step 4: Simplify right side
    7,298.88x = 34,956,230.40
  5. Step 5: Solve for x
    x = 34,956,230.40/7,298.88
  6. Step 6: Final answer
    x = 4,789.26

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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.