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Finding the Fourth Proportional to 3,296.16, 4,944.72 and 987.84

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Solution

The fourth proportional to 3,296.16, 4,944.72 and 987.84 is: 1,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.16 : 4,944.72 = 987.84 : x
  2. Step 2: Convert to fraction form
    3,296.16/4,944.72 = 987.84/x
  3. Step 3: Cross multiply
    3,296.16x = 4,944.72 × 987.84
  4. Step 4: Simplify right side
    3,296.16x = 4,884,592.20
  5. Step 5: Solve for x
    x = 4,884,592.20/3,296.16
  6. Step 6: Final answer
    x = 1,481.90

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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.