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Finding the Fourth Proportional to 3,146.56, 4,332.34 and 2,854.96

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Solution

The fourth proportional to 3,146.56, 4,332.34 and 2,854.96 is: 3,930.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.56 : 4,332.34 = 2,854.96 : x
  2. Step 2: Convert to fraction form
    3,146.56/4,332.34 = 2,854.96/x
  3. Step 3: Cross multiply
    3,146.56x = 4,332.34 × 2,854.96
  4. Step 4: Simplify right side
    3,146.56x = 12,368,657.41
  5. Step 5: Solve for x
    x = 12,368,657.41/3,146.56
  6. Step 6: Final answer
    x = 3,930.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.