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Finding the Fourth Proportional to 3,520.81, 5,282.63 and 1,330.16

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Solution

The fourth proportional to 3,520.81, 5,282.63 and 1,330.16 is: 1,995.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520.81 : 5,282.63 = 1,330.16 : x
  2. Step 2: Convert to fraction form
    3,520.81/5,282.63 = 1,330.16/x
  3. Step 3: Cross multiply
    3,520.81x = 5,282.63 × 1,330.16
  4. Step 4: Simplify right side
    3,520.81x = 7,026,736.47
  5. Step 5: Solve for x
    x = 7,026,736.47/3,520.81
  6. Step 6: Final answer
    x = 1,995.78

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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.