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Finding the Fourth Proportional to 3,867.32, 5,336.86 and 2,188.68

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Solution

The fourth proportional to 3,867.32, 5,336.86 and 2,188.68 is: 3,020.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.32 : 5,336.86 = 2,188.68 : x
  2. Step 2: Convert to fraction form
    3,867.32/5,336.86 = 2,188.68/x
  3. Step 3: Cross multiply
    3,867.32x = 5,336.86 × 2,188.68
  4. Step 4: Simplify right side
    3,867.32x = 11,680,678.74
  5. Step 5: Solve for x
    x = 11,680,678.74/3,867.32
  6. Step 6: Final answer
    x = 3,020.35

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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.