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Finding the Fourth Proportional to 5,642.44, 7,786.17 and 3,124.30

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Solution

The fourth proportional to 5,642.44, 7,786.17 and 3,124.30 is: 4,311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.44 : 7,786.17 = 3,124.30 : x
  2. Step 2: Convert to fraction form
    5,642.44/7,786.17 = 3,124.30/x
  3. Step 3: Cross multiply
    5,642.44x = 7,786.17 × 3,124.30
  4. Step 4: Simplify right side
    5,642.44x = 24,326,330.93
  5. Step 5: Solve for x
    x = 24,326,330.93/5,642.44
  6. Step 6: Final answer
    x = 4,311.31

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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.