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Finding the Fourth Proportional to 4,658.16, 6,982.55 and 2,314.56

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Solution

The fourth proportional to 4,658.16, 6,982.55 and 2,314.56 is: 3,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.16 : 6,982.55 = 2,314.56 : x
  2. Step 2: Convert to fraction form
    4,658.16/6,982.55 = 2,314.56/x
  3. Step 3: Cross multiply
    4,658.16x = 6,982.55 × 2,314.56
  4. Step 4: Simplify right side
    4,658.16x = 16,161,530.93
  5. Step 5: Solve for x
    x = 16,161,530.93/4,658.16
  6. Step 6: Final answer
    x = 3,469.51

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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.