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Finding the Fourth Proportional to 3,908.19, 5,862.89 and 1,310.52

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Solution

The fourth proportional to 3,908.19, 5,862.89 and 1,310.52 is: 1,965.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.19 : 5,862.89 = 1,310.52 : x
  2. Step 2: Convert to fraction form
    3,908.19/5,862.89 = 1,310.52/x
  3. Step 3: Cross multiply
    3,908.19x = 5,862.89 × 1,310.52
  4. Step 4: Simplify right side
    3,908.19x = 7,683,459.86
  5. Step 5: Solve for x
    x = 7,683,459.86/3,908.19
  6. Step 6: Final answer
    x = 1,965.99

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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.