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Finding the Fourth Proportional to 3,867.46, 5,337.12 and 2,188.93

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Solution

The fourth proportional to 3,867.46, 5,337.12 and 2,188.93 is: 3,020.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.46 : 5,337.12 = 2,188.93 : x
  2. Step 2: Convert to fraction form
    3,867.46/5,337.12 = 2,188.93/x
  3. Step 3: Cross multiply
    3,867.46x = 5,337.12 × 2,188.93
  4. Step 4: Simplify right side
    3,867.46x = 11,682,582.08
  5. Step 5: Solve for x
    x = 11,682,582.08/3,867.46
  6. Step 6: Final answer
    x = 3,020.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.