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Finding the Fourth Proportional to 5,132.16, 7,661.79 and 4,949.91

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Solution

The fourth proportional to 5,132.16, 7,661.79 and 4,949.91 is: 7,389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.16 : 7,661.79 = 4,949.91 : x
  2. Step 2: Convert to fraction form
    5,132.16/7,661.79 = 4,949.91/x
  3. Step 3: Cross multiply
    5,132.16x = 7,661.79 × 4,949.91
  4. Step 4: Simplify right side
    5,132.16x = 37,925,170.94
  5. Step 5: Solve for x
    x = 37,925,170.94/5,132.16
  6. Step 6: Final answer
    x = 7,389.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.