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Finding the Fourth Proportional to 3,879.60, 5,348.16 and 3,346.08

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Solution

The fourth proportional to 3,879.60, 5,348.16 and 3,346.08 is: 4,612.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.60 : 5,348.16 = 3,346.08 : x
  2. Step 2: Convert to fraction form
    3,879.60/5,348.16 = 3,346.08/x
  3. Step 3: Cross multiply
    3,879.60x = 5,348.16 × 3,346.08
  4. Step 4: Simplify right side
    3,879.60x = 17,895,371.21
  5. Step 5: Solve for x
    x = 17,895,371.21/3,879.60
  6. Step 6: Final answer
    x = 4,612.68

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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.