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Finding the Fourth Proportional to 4,147.65, 5,723.30 and 2,468.82

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Solution

The fourth proportional to 4,147.65, 5,723.30 and 2,468.82 is: 3,406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.65 : 5,723.30 = 2,468.82 : x
  2. Step 2: Convert to fraction form
    4,147.65/5,723.30 = 2,468.82/x
  3. Step 3: Cross multiply
    4,147.65x = 5,723.30 × 2,468.82
  4. Step 4: Simplify right side
    4,147.65x = 14,129,785.16
  5. Step 5: Solve for x
    x = 14,129,785.16/4,147.65
  6. Step 6: Final answer
    x = 3,406.70

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1.5x scale

Why These Related Problems?

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