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Finding the Fourth Proportional to 3,389.90, 5,083.16 and 1,310.42

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Solution

The fourth proportional to 3,389.90, 5,083.16 and 1,310.42 is: 1,964.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.90 : 5,083.16 = 1,310.42 : x
  2. Step 2: Convert to fraction form
    3,389.90/5,083.16 = 1,310.42/x
  3. Step 3: Cross multiply
    3,389.90x = 5,083.16 × 1,310.42
  4. Step 4: Simplify right side
    3,389.90x = 6,661,080.68
  5. Step 5: Solve for x
    x = 6,661,080.68/3,389.90
  6. Step 6: Final answer
    x = 1,964.98

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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.