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Finding the Fourth Proportional to 4,046.86, 5,584.60 and 2,278.46

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Solution

The fourth proportional to 4,046.86, 5,584.60 and 2,278.46 is: 3,144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.86 : 5,584.60 = 2,278.46 : x
  2. Step 2: Convert to fraction form
    4,046.86/5,584.60 = 2,278.46/x
  3. Step 3: Cross multiply
    4,046.86x = 5,584.60 × 2,278.46
  4. Step 4: Simplify right side
    4,046.86x = 12,724,287.72
  5. Step 5: Solve for x
    x = 12,724,287.72/4,046.86
  6. Step 6: Final answer
    x = 3,144.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.