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Finding the Fourth Proportional to 4,187.95, 6,282.60 and 1,414.79

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Solution

The fourth proportional to 4,187.95, 6,282.60 and 1,414.79 is: 2,122.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.95 : 6,282.60 = 1,414.79 : x
  2. Step 2: Convert to fraction form
    4,187.95/6,282.60 = 1,414.79/x
  3. Step 3: Cross multiply
    4,187.95x = 6,282.60 × 1,414.79
  4. Step 4: Simplify right side
    4,187.95x = 8,888,528.24
  5. Step 5: Solve for x
    x = 8,888,528.24/4,187.95
  6. Step 6: Final answer
    x = 2,122.41

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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.