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Finding the Fourth Proportional to 4,147.66, 5,724.03 and 2,284.66

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Solution

The fourth proportional to 4,147.66, 5,724.03 and 2,284.66 is: 3,152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.66 : 5,724.03 = 2,284.66 : x
  2. Step 2: Convert to fraction form
    4,147.66/5,724.03 = 2,284.66/x
  3. Step 3: Cross multiply
    4,147.66x = 5,724.03 × 2,284.66
  4. Step 4: Simplify right side
    4,147.66x = 13,077,462.38
  5. Step 5: Solve for x
    x = 13,077,462.38/4,147.66
  6. Step 6: Final answer
    x = 3,152.97

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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.