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Finding the Fourth Proportional to 5,252.56, 7,879.78 and 1,742.78

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Solution

The fourth proportional to 5,252.56, 7,879.78 and 1,742.78 is: 2,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.56 : 7,879.78 = 1,742.78 : x
  2. Step 2: Convert to fraction form
    5,252.56/7,879.78 = 1,742.78/x
  3. Step 3: Cross multiply
    5,252.56x = 7,879.78 × 1,742.78
  4. Step 4: Simplify right side
    5,252.56x = 13,732,741.90
  5. Step 5: Solve for x
    x = 13,732,741.90/5,252.56
  6. Step 6: Final answer
    x = 2,614.48

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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.