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Finding the Fourth Proportional to 5,856.82, 8,085.75 and 3,873.13

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Solution

The fourth proportional to 5,856.82, 8,085.75 and 3,873.13 is: 5,347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.82 : 8,085.75 = 3,873.13 : x
  2. Step 2: Convert to fraction form
    5,856.82/8,085.75 = 3,873.13/x
  3. Step 3: Cross multiply
    5,856.82x = 8,085.75 × 3,873.13
  4. Step 4: Simplify right side
    5,856.82x = 31,317,140.68
  5. Step 5: Solve for x
    x = 31,317,140.68/5,856.82
  6. Step 6: Final answer
    x = 5,347.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.