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Finding the Fourth Proportional to 3,856.65, 5,785.94 and 1,083.34

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Solution

The fourth proportional to 3,856.65, 5,785.94 and 1,083.34 is: 1,625.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.65 : 5,785.94 = 1,083.34 : x
  2. Step 2: Convert to fraction form
    3,856.65/5,785.94 = 1,083.34/x
  3. Step 3: Cross multiply
    3,856.65x = 5,785.94 × 1,083.34
  4. Step 4: Simplify right side
    3,856.65x = 6,268,140.24
  5. Step 5: Solve for x
    x = 6,268,140.24/3,856.65
  6. Step 6: Final answer
    x = 1,625.28

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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.