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Finding the Fourth Proportional to 4,228.96, 6,344.12 and 1,454.95

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Solution

The fourth proportional to 4,228.96, 6,344.12 and 1,454.95 is: 2,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.96 : 6,344.12 = 1,454.95 : x
  2. Step 2: Convert to fraction form
    4,228.96/6,344.12 = 1,454.95/x
  3. Step 3: Cross multiply
    4,228.96x = 6,344.12 × 1,454.95
  4. Step 4: Simplify right side
    4,228.96x = 9,230,370.12
  5. Step 5: Solve for x
    x = 9,230,370.12/4,228.96
  6. Step 6: Final answer
    x = 2,182.66

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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.