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Finding the Fourth Proportional to 3,686.46, 5,087.22 and 2,114.46

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Solution

The fourth proportional to 3,686.46, 5,087.22 and 2,114.46 is: 2,917.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.46 : 5,087.22 = 2,114.46 : x
  2. Step 2: Convert to fraction form
    3,686.46/5,087.22 = 2,114.46/x
  3. Step 3: Cross multiply
    3,686.46x = 5,087.22 × 2,114.46
  4. Step 4: Simplify right side
    3,686.46x = 10,756,723.20
  5. Step 5: Solve for x
    x = 10,756,723.20/3,686.46
  6. Step 6: Final answer
    x = 2,917.90

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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.