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Finding the Fourth Proportional to 5,216.77, 7,822.07 and 2,098.25

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Solution

The fourth proportional to 5,216.77, 7,822.07 and 2,098.25 is: 3,146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.77 : 7,822.07 = 2,098.25 : x
  2. Step 2: Convert to fraction form
    5,216.77/7,822.07 = 2,098.25/x
  3. Step 3: Cross multiply
    5,216.77x = 7,822.07 × 2,098.25
  4. Step 4: Simplify right side
    5,216.77x = 16,412,658.38
  5. Step 5: Solve for x
    x = 16,412,658.38/5,216.77
  6. Step 6: Final answer
    x = 3,146.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.