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Finding the Fourth Proportional to 5,524.16, 8,272.16 and 5,360

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Solution

The fourth proportional to 5,524.16, 8,272.16 and 5,360 is: 8,026.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524.16 : 8,272.16 = 5,360 : x
  2. Step 2: Convert to fraction form
    5,524.16/8,272.16 = 5,360/x
  3. Step 3: Cross multiply
    5,524.16x = 8,272.16 × 5,360
  4. Step 4: Simplify right side
    5,524.16x = 44,338,777.60
  5. Step 5: Solve for x
    x = 44,338,777.60/5,524.16
  6. Step 6: Final answer
    x = 8,026.34

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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.