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Finding the Fourth Proportional to 5,856.17, 8,081.51 and 3,203.57

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Solution

The fourth proportional to 5,856.17, 8,081.51 and 3,203.57 is: 4,420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.17 : 8,081.51 = 3,203.57 : x
  2. Step 2: Convert to fraction form
    5,856.17/8,081.51 = 3,203.57/x
  3. Step 3: Cross multiply
    5,856.17x = 8,081.51 × 3,203.57
  4. Step 4: Simplify right side
    5,856.17x = 25,889,687.18
  5. Step 5: Solve for x
    x = 25,889,687.18/5,856.17
  6. Step 6: Final answer
    x = 4,420.93

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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.