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Finding the Fourth Proportional to 3,237.80, 4,863.90 and 3,151.40

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Solution

The fourth proportional to 3,237.80, 4,863.90 and 3,151.40 is: 4,734.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.80 : 4,863.90 = 3,151.40 : x
  2. Step 2: Convert to fraction form
    3,237.80/4,863.90 = 3,151.40/x
  3. Step 3: Cross multiply
    3,237.80x = 4,863.90 × 3,151.40
  4. Step 4: Simplify right side
    3,237.80x = 15,328,094.46
  5. Step 5: Solve for x
    x = 15,328,094.46/3,237.80
  6. Step 6: Final answer
    x = 4,734.11

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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.