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Finding the Fourth Proportional to 5,226.50, 7,826.75 and 3,659.16

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Solution

The fourth proportional to 5,226.50, 7,826.75 and 3,659.16 is: 5,479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.50 : 7,826.75 = 3,659.16 : x
  2. Step 2: Convert to fraction form
    5,226.50/7,826.75 = 3,659.16/x
  3. Step 3: Cross multiply
    5,226.50x = 7,826.75 × 3,659.16
  4. Step 4: Simplify right side
    5,226.50x = 28,639,330.53
  5. Step 5: Solve for x
    x = 28,639,330.53/5,226.50
  6. Step 6: Final answer
    x = 5,479.64

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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.