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Finding the Fourth Proportional to 3,162.88, 4,738.56 and 2,332

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Solution

The fourth proportional to 3,162.88, 4,738.56 and 2,332 is: 3,493.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.88 : 4,738.56 = 2,332 : x
  2. Step 2: Convert to fraction form
    3,162.88/4,738.56 = 2,332/x
  3. Step 3: Cross multiply
    3,162.88x = 4,738.56 × 2,332
  4. Step 4: Simplify right side
    3,162.88x = 11,050,321.92
  5. Step 5: Solve for x
    x = 11,050,321.92/3,162.88
  6. Step 6: Final answer
    x = 3,493.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.