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Finding the Fourth Proportional to 5,856.66, 8,081.94 and 3,497.40

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Solution

The fourth proportional to 5,856.66, 8,081.94 and 3,497.40 is: 4,826.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.66 : 8,081.94 = 3,497.40 : x
  2. Step 2: Convert to fraction form
    5,856.66/8,081.94 = 3,497.40/x
  3. Step 3: Cross multiply
    5,856.66x = 8,081.94 × 3,497.40
  4. Step 4: Simplify right side
    5,856.66x = 28,265,776.96
  5. Step 5: Solve for x
    x = 28,265,776.96/5,856.66
  6. Step 6: Final answer
    x = 4,826.26

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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.