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Finding the Fourth Proportional to 3,362, 5,044.28 and 1,310.16

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Solution

The fourth proportional to 3,362, 5,044.28 and 1,310.16 is: 1,965.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362 : 5,044.28 = 1,310.16 : x
  2. Step 2: Convert to fraction form
    3,362/5,044.28 = 1,310.16/x
  3. Step 3: Cross multiply
    3,362x = 5,044.28 × 1,310.16
  4. Step 4: Simplify right side
    3,362x = 6,608,813.88
  5. Step 5: Solve for x
    x = 6,608,813.88/3,362
  6. Step 6: Final answer
    x = 1,965.74

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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.