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Finding the Fourth Proportional to 5,225.68, 7,213.62 and 3,734.20

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Solution

The fourth proportional to 5,225.68, 7,213.62 and 3,734.20 is: 5,154.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.68 : 7,213.62 = 3,734.20 : x
  2. Step 2: Convert to fraction form
    5,225.68/7,213.62 = 3,734.20/x
  3. Step 3: Cross multiply
    5,225.68x = 7,213.62 × 3,734.20
  4. Step 4: Simplify right side
    5,225.68x = 26,937,099.80
  5. Step 5: Solve for x
    x = 26,937,099.80/5,225.68
  6. Step 6: Final answer
    x = 5,154.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.