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Finding the Fourth Proportional to 3,742.40, 5,613.17 and 969.08

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Solution

The fourth proportional to 3,742.40, 5,613.17 and 969.08 is: 1,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.40 : 5,613.17 = 969.08 : x
  2. Step 2: Convert to fraction form
    3,742.40/5,613.17 = 969.08/x
  3. Step 3: Cross multiply
    3,742.40x = 5,613.17 × 969.08
  4. Step 4: Simplify right side
    3,742.40x = 5,439,577.87
  5. Step 5: Solve for x
    x = 5,439,577.87/3,742.40
  6. Step 6: Final answer
    x = 1,453.50

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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.