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Finding the Fourth Proportional to 7,170.92, 10,758.78 and 3,659.40

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Solution

The fourth proportional to 7,170.92, 10,758.78 and 3,659.40 is: 5,490.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.92 : 10,758.78 = 3,659.40 : x
  2. Step 2: Convert to fraction form
    7,170.92/10,758.78 = 3,659.40/x
  3. Step 3: Cross multiply
    7,170.92x = 10,758.78 × 3,659.40
  4. Step 4: Simplify right side
    7,170.92x = 39,370,679.53
  5. Step 5: Solve for x
    x = 39,370,679.53/7,170.92
  6. Step 6: Final answer
    x = 5,490.32

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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.