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Finding the Fourth Proportional to 5,584.24, 8,315.64 and 5,522.88

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Solution

The fourth proportional to 5,584.24, 8,315.64 and 5,522.88 is: 8,224.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.24 : 8,315.64 = 5,522.88 : x
  2. Step 2: Convert to fraction form
    5,584.24/8,315.64 = 5,522.88/x
  3. Step 3: Cross multiply
    5,584.24x = 8,315.64 × 5,522.88
  4. Step 4: Simplify right side
    5,584.24x = 45,926,297.49
  5. Step 5: Solve for x
    x = 45,926,297.49/5,584.24
  6. Step 6: Final answer
    x = 8,224.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.