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Finding the Fourth Proportional to 3,850.92, 5,778.30 and 1,386.30

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Solution

The fourth proportional to 3,850.92, 5,778.30 and 1,386.30 is: 2,080.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.92 : 5,778.30 = 1,386.30 : x
  2. Step 2: Convert to fraction form
    3,850.92/5,778.30 = 1,386.30/x
  3. Step 3: Cross multiply
    3,850.92x = 5,778.30 × 1,386.30
  4. Step 4: Simplify right side
    3,850.92x = 8,010,457.29
  5. Step 5: Solve for x
    x = 8,010,457.29/3,850.92
  6. Step 6: Final answer
    x = 2,080.14

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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.