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Finding the Fourth Proportional to 5,114.80, 7,672.20 and 3,559.60

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Solution

The fourth proportional to 5,114.80, 7,672.20 and 3,559.60 is: 5,339.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.80 : 7,672.20 = 3,559.60 : x
  2. Step 2: Convert to fraction form
    5,114.80/7,672.20 = 3,559.60/x
  3. Step 3: Cross multiply
    5,114.80x = 7,672.20 × 3,559.60
  4. Step 4: Simplify right side
    5,114.80x = 27,309,963.12
  5. Step 5: Solve for x
    x = 27,309,963.12/5,114.80
  6. Step 6: Final answer
    x = 5,339.40

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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.