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Finding the Fourth Proportional to 4,188.59, 6,278.51 and 1,414.30

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Solution

The fourth proportional to 4,188.59, 6,278.51 and 1,414.30 is: 2,119.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.59 : 6,278.51 = 1,414.30 : x
  2. Step 2: Convert to fraction form
    4,188.59/6,278.51 = 1,414.30/x
  3. Step 3: Cross multiply
    4,188.59x = 6,278.51 × 1,414.30
  4. Step 4: Simplify right side
    4,188.59x = 8,879,696.69
  5. Step 5: Solve for x
    x = 8,879,696.69/4,188.59
  6. Step 6: Final answer
    x = 2,119.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.