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Finding the Fourth Proportional to 4,151.39, 6,228.14 and 1,378.84

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Solution

The fourth proportional to 4,151.39, 6,228.14 and 1,378.84 is: 2,068.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.39 : 6,228.14 = 1,378.84 : x
  2. Step 2: Convert to fraction form
    4,151.39/6,228.14 = 1,378.84/x
  3. Step 3: Cross multiply
    4,151.39x = 6,228.14 × 1,378.84
  4. Step 4: Simplify right side
    4,151.39x = 8,587,586.09
  5. Step 5: Solve for x
    x = 8,587,586.09/4,151.39
  6. Step 6: Final answer
    x = 2,068.61

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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.