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Finding the Fourth Proportional to 4,054.46, 6,078.02 and 1,456.79

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Solution

The fourth proportional to 4,054.46, 6,078.02 and 1,456.79 is: 2,183.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,054.46 : 6,078.02 = 1,456.79 : x
  2. Step 2: Convert to fraction form
    4,054.46/6,078.02 = 1,456.79/x
  3. Step 3: Cross multiply
    4,054.46x = 6,078.02 × 1,456.79
  4. Step 4: Simplify right side
    4,054.46x = 8,854,372.01
  5. Step 5: Solve for x
    x = 8,854,372.01/4,054.46
  6. Step 6: Final answer
    x = 2,183.86

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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.