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Finding the Fourth Proportional to 3,229.60, 4,458.16 and 2,897.44

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Solution

The fourth proportional to 3,229.60, 4,458.16 and 2,897.44 is: 3,999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.60 : 4,458.16 = 2,897.44 : x
  2. Step 2: Convert to fraction form
    3,229.60/4,458.16 = 2,897.44/x
  3. Step 3: Cross multiply
    3,229.60x = 4,458.16 × 2,897.44
  4. Step 4: Simplify right side
    3,229.60x = 12,917,251.11
  5. Step 5: Solve for x
    x = 12,917,251.11/3,229.60
  6. Step 6: Final answer
    x = 3,999.64

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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.