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Finding the Fourth Proportional to 5,200.95, 7,801.43 and 3,742.95

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Solution

The fourth proportional to 5,200.95, 7,801.43 and 3,742.95 is: 5,614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.95 : 7,801.43 = 3,742.95 : x
  2. Step 2: Convert to fraction form
    5,200.95/7,801.43 = 3,742.95/x
  3. Step 3: Cross multiply
    5,200.95x = 7,801.43 × 3,742.95
  4. Step 4: Simplify right side
    5,200.95x = 29,200,343.70
  5. Step 5: Solve for x
    x = 29,200,343.70/5,200.95
  6. Step 6: Final answer
    x = 5,614.43

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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.