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Finding the Fourth Proportional to 5,661.20, 8,524.22 and 5,315.60

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Solution

The fourth proportional to 5,661.20, 8,524.22 and 5,315.60 is: 8,003.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.20 : 8,524.22 = 5,315.60 : x
  2. Step 2: Convert to fraction form
    5,661.20/8,524.22 = 5,315.60/x
  3. Step 3: Cross multiply
    5,661.20x = 8,524.22 × 5,315.60
  4. Step 4: Simplify right side
    5,661.20x = 45,311,343.83
  5. Step 5: Solve for x
    x = 45,311,343.83/5,661.20
  6. Step 6: Final answer
    x = 8,003.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.