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Finding the Fourth Proportional to 3,770.92, 5,656.66 and 1,138.22

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Solution

The fourth proportional to 3,770.92, 5,656.66 and 1,138.22 is: 1,707.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.92 : 5,656.66 = 1,138.22 : x
  2. Step 2: Convert to fraction form
    3,770.92/5,656.66 = 1,138.22/x
  3. Step 3: Cross multiply
    3,770.92x = 5,656.66 × 1,138.22
  4. Step 4: Simplify right side
    3,770.92x = 6,438,492.42
  5. Step 5: Solve for x
    x = 6,438,492.42/3,770.92
  6. Step 6: Final answer
    x = 1,707.41

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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.