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Finding the Fourth Proportional to 3,362.70, 5,040.66 and 1,282.16

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Solution

The fourth proportional to 3,362.70, 5,040.66 and 1,282.16 is: 1,921.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.70 : 5,040.66 = 1,282.16 : x
  2. Step 2: Convert to fraction form
    3,362.70/5,040.66 = 1,282.16/x
  3. Step 3: Cross multiply
    3,362.70x = 5,040.66 × 1,282.16
  4. Step 4: Simplify right side
    3,362.70x = 6,462,932.63
  5. Step 5: Solve for x
    x = 6,462,932.63/3,362.70
  6. Step 6: Final answer
    x = 1,921.95

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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.