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Finding the Fourth Proportional to 5,306.24, 7,962.24 and 2,228.16

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Solution

The fourth proportional to 5,306.24, 7,962.24 and 2,228.16 is: 3,343.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.24 : 7,962.24 = 2,228.16 : x
  2. Step 2: Convert to fraction form
    5,306.24/7,962.24 = 2,228.16/x
  3. Step 3: Cross multiply
    5,306.24x = 7,962.24 × 2,228.16
  4. Step 4: Simplify right side
    5,306.24x = 17,741,144.68
  5. Step 5: Solve for x
    x = 17,741,144.68/5,306.24
  6. Step 6: Final answer
    x = 3,343.45

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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.