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Finding the Fourth Proportional to 3,910.78, 5,862.12 and 1,312.84

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Solution

The fourth proportional to 3,910.78, 5,862.12 and 1,312.84 is: 1,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.78 : 5,862.12 = 1,312.84 : x
  2. Step 2: Convert to fraction form
    3,910.78/5,862.12 = 1,312.84/x
  3. Step 3: Cross multiply
    3,910.78x = 5,862.12 × 1,312.84
  4. Step 4: Simplify right side
    3,910.78x = 7,696,025.62
  5. Step 5: Solve for x
    x = 7,696,025.62/3,910.78
  6. Step 6: Final answer
    x = 1,967.90

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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.