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Finding the Fourth Proportional to 4,151.61, 6,228.15 and 1,377.99

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Solution

The fourth proportional to 4,151.61, 6,228.15 and 1,377.99 is: 2,067.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.61 : 6,228.15 = 1,377.99 : x
  2. Step 2: Convert to fraction form
    4,151.61/6,228.15 = 1,377.99/x
  3. Step 3: Cross multiply
    4,151.61x = 6,228.15 × 1,377.99
  4. Step 4: Simplify right side
    4,151.61x = 8,582,328.42
  5. Step 5: Solve for x
    x = 8,582,328.42/4,151.61
  6. Step 6: Final answer
    x = 2,067.23

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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.