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Finding the Fourth Proportional to 5,760.77, 7,949.93 and 3,242.86

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Solution

The fourth proportional to 5,760.77, 7,949.93 and 3,242.86 is: 4,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.77 : 7,949.93 = 3,242.86 : x
  2. Step 2: Convert to fraction form
    5,760.77/7,949.93 = 3,242.86/x
  3. Step 3: Cross multiply
    5,760.77x = 7,949.93 × 3,242.86
  4. Step 4: Simplify right side
    5,760.77x = 25,780,473.91
  5. Step 5: Solve for x
    x = 25,780,473.91/5,760.77
  6. Step 6: Final answer
    x = 4,475.18

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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.