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Finding the Fourth Proportional to 5,713.60, 8,559.60 and 5,324.80

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Solution

The fourth proportional to 5,713.60, 8,559.60 and 5,324.80 is: 7,977.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.60 : 8,559.60 = 5,324.80 : x
  2. Step 2: Convert to fraction form
    5,713.60/8,559.60 = 5,324.80/x
  3. Step 3: Cross multiply
    5,713.60x = 8,559.60 × 5,324.80
  4. Step 4: Simplify right side
    5,713.60x = 45,578,158.08
  5. Step 5: Solve for x
    x = 45,578,158.08/5,713.60
  6. Step 6: Final answer
    x = 7,977.13

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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.