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Finding the Fourth Proportional to 5,687.28, 7,848.18 and 3,169.20

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Solution

The fourth proportional to 5,687.28, 7,848.18 and 3,169.20 is: 4,373.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.28 : 7,848.18 = 3,169.20 : x
  2. Step 2: Convert to fraction form
    5,687.28/7,848.18 = 3,169.20/x
  3. Step 3: Cross multiply
    5,687.28x = 7,848.18 × 3,169.20
  4. Step 4: Simplify right side
    5,687.28x = 24,872,452.06
  5. Step 5: Solve for x
    x = 24,872,452.06/5,687.28
  6. Step 6: Final answer
    x = 4,373.35

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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.