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Finding the Fourth Proportional to 3,390.69, 5,082.39 and 1,310.07

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Solution

The fourth proportional to 3,390.69, 5,082.39 and 1,310.07 is: 1,963.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.69 : 5,082.39 = 1,310.07 : x
  2. Step 2: Convert to fraction form
    3,390.69/5,082.39 = 1,310.07/x
  3. Step 3: Cross multiply
    3,390.69x = 5,082.39 × 1,310.07
  4. Step 4: Simplify right side
    3,390.69x = 6,658,286.67
  5. Step 5: Solve for x
    x = 6,658,286.67/3,390.69
  6. Step 6: Final answer
    x = 1,963.70

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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.