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Finding the Fourth Proportional to 3,937.86, 5,434.53 and 2,742.90

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Solution

The fourth proportional to 3,937.86, 5,434.53 and 2,742.90 is: 3,785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.86 : 5,434.53 = 2,742.90 : x
  2. Step 2: Convert to fraction form
    3,937.86/5,434.53 = 2,742.90/x
  3. Step 3: Cross multiply
    3,937.86x = 5,434.53 × 2,742.90
  4. Step 4: Simplify right side
    3,937.86x = 14,906,372.34
  5. Step 5: Solve for x
    x = 14,906,372.34/3,937.86
  6. Step 6: Final answer
    x = 3,785.40

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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.