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Finding the Fourth Proportional to 3,138.75, 4,726.46 and 2,322.76

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Solution

The fourth proportional to 3,138.75, 4,726.46 and 2,322.76 is: 3,497.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.75 : 4,726.46 = 2,322.76 : x
  2. Step 2: Convert to fraction form
    3,138.75/4,726.46 = 2,322.76/x
  3. Step 3: Cross multiply
    3,138.75x = 4,726.46 × 2,322.76
  4. Step 4: Simplify right side
    3,138.75x = 10,978,432.23
  5. Step 5: Solve for x
    x = 10,978,432.23/3,138.75
  6. Step 6: Final answer
    x = 3,497.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.