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Finding the Fourth Proportional to 3,742.60, 5,613.90 and 1,552.90

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Solution

The fourth proportional to 3,742.60, 5,613.90 and 1,552.90 is: 2,329.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.60 : 5,613.90 = 1,552.90 : x
  2. Step 2: Convert to fraction form
    3,742.60/5,613.90 = 1,552.90/x
  3. Step 3: Cross multiply
    3,742.60x = 5,613.90 × 1,552.90
  4. Step 4: Simplify right side
    3,742.60x = 8,717,825.31
  5. Step 5: Solve for x
    x = 8,717,825.31/3,742.60
  6. Step 6: Final answer
    x = 2,329.35

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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.