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Finding the Fourth Proportional to 3,742.07, 5,164.53 and 2,149.22

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Solution

The fourth proportional to 3,742.07, 5,164.53 and 2,149.22 is: 2,966.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.07 : 5,164.53 = 2,149.22 : x
  2. Step 2: Convert to fraction form
    3,742.07/5,164.53 = 2,149.22/x
  3. Step 3: Cross multiply
    3,742.07x = 5,164.53 × 2,149.22
  4. Step 4: Simplify right side
    3,742.07x = 11,099,677.28
  5. Step 5: Solve for x
    x = 11,099,677.28/3,742.07
  6. Step 6: Final answer
    x = 2,966.19

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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.