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Finding the Fourth Proportional to 3,630.60, 5,470.12 and 3,284.32

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Solution

The fourth proportional to 3,630.60, 5,470.12 and 3,284.32 is: 4,948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.60 : 5,470.12 = 3,284.32 : x
  2. Step 2: Convert to fraction form
    3,630.60/5,470.12 = 3,284.32/x
  3. Step 3: Cross multiply
    3,630.60x = 5,470.12 × 3,284.32
  4. Step 4: Simplify right side
    3,630.60x = 17,965,624.52
  5. Step 5: Solve for x
    x = 17,965,624.52/3,630.60
  6. Step 6: Final answer
    x = 4,948.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.