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Finding the Fourth Proportional to 3,844.95, 5,760.13 and 2,281.65

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Solution

The fourth proportional to 3,844.95, 5,760.13 and 2,281.65 is: 3,418.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.95 : 5,760.13 = 2,281.65 : x
  2. Step 2: Convert to fraction form
    3,844.95/5,760.13 = 2,281.65/x
  3. Step 3: Cross multiply
    3,844.95x = 5,760.13 × 2,281.65
  4. Step 4: Simplify right side
    3,844.95x = 13,142,600.61
  5. Step 5: Solve for x
    x = 13,142,600.61/3,844.95
  6. Step 6: Final answer
    x = 3,418.15

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1.5x scale

Why These Related Problems?

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