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Finding the Fourth Proportional to 4,149.46, 5,725.65 and 2,380.78

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Solution

The fourth proportional to 4,149.46, 5,725.65 and 2,380.78 is: 3,285.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.46 : 5,725.65 = 2,380.78 : x
  2. Step 2: Convert to fraction form
    4,149.46/5,725.65 = 2,380.78/x
  3. Step 3: Cross multiply
    4,149.46x = 5,725.65 × 2,380.78
  4. Step 4: Simplify right side
    4,149.46x = 13,631,513.01
  5. Step 5: Solve for x
    x = 13,631,513.01/4,149.46
  6. Step 6: Final answer
    x = 3,285.13

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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.