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Finding the Fourth Proportional to 5,146.27, 7,718.47 and 1,636.65

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Solution

The fourth proportional to 5,146.27, 7,718.47 and 1,636.65 is: 2,454.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.27 : 7,718.47 = 1,636.65 : x
  2. Step 2: Convert to fraction form
    5,146.27/7,718.47 = 1,636.65/x
  3. Step 3: Cross multiply
    5,146.27x = 7,718.47 × 1,636.65
  4. Step 4: Simplify right side
    5,146.27x = 12,632,433.93
  5. Step 5: Solve for x
    x = 12,632,433.93/5,146.27
  6. Step 6: Final answer
    x = 2,454.68

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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.