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Finding the Fourth Proportional to 3,390.66, 5,082.42 and 1,310.10

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Solution

The fourth proportional to 3,390.66, 5,082.42 and 1,310.10 is: 1,963.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.66 : 5,082.42 = 1,310.10 : x
  2. Step 2: Convert to fraction form
    3,390.66/5,082.42 = 1,310.10/x
  3. Step 3: Cross multiply
    3,390.66x = 5,082.42 × 1,310.10
  4. Step 4: Simplify right side
    3,390.66x = 6,658,478.44
  5. Step 5: Solve for x
    x = 6,658,478.44/3,390.66
  6. Step 6: Final answer
    x = 1,963.77

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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.