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Finding the Fourth Proportional to 4,883.76, 7,327.80 and 2,288.88

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Solution

The fourth proportional to 4,883.76, 7,327.80 and 2,288.88 is: 3,434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,883.76 : 7,327.80 = 2,288.88 : x
  2. Step 2: Convert to fraction form
    4,883.76/7,327.80 = 2,288.88/x
  3. Step 3: Cross multiply
    4,883.76x = 7,327.80 × 2,288.88
  4. Step 4: Simplify right side
    4,883.76x = 16,772,454.86
  5. Step 5: Solve for x
    x = 16,772,454.86/4,883.76
  6. Step 6: Final answer
    x = 3,434.33

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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.