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Finding the Fourth Proportional to 5,882.28, 8,816.28 and 4,117.56

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Solution

The fourth proportional to 5,882.28, 8,816.28 and 4,117.56 is: 6,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.28 : 8,816.28 = 4,117.56 : x
  2. Step 2: Convert to fraction form
    5,882.28/8,816.28 = 4,117.56/x
  3. Step 3: Cross multiply
    5,882.28x = 8,816.28 × 4,117.56
  4. Step 4: Simplify right side
    5,882.28x = 36,301,561.88
  5. Step 5: Solve for x
    x = 36,301,561.88/5,882.28
  6. Step 6: Final answer
    x = 6,171.34

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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.