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Finding the Fourth Proportional to 4,832.64, 7,250.68 and 2,981.60

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Solution

The fourth proportional to 4,832.64, 7,250.68 and 2,981.60 is: 4,473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.64 : 7,250.68 = 2,981.60 : x
  2. Step 2: Convert to fraction form
    4,832.64/7,250.68 = 2,981.60/x
  3. Step 3: Cross multiply
    4,832.64x = 7,250.68 × 2,981.60
  4. Step 4: Simplify right side
    4,832.64x = 21,618,591.23
  5. Step 5: Solve for x
    x = 21,618,591.23/4,832.64
  6. Step 6: Final answer
    x = 4,473.46

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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.