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Finding the Fourth Proportional to 5,098.94, 7,036.64 and 2,860.97

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Solution

The fourth proportional to 5,098.94, 7,036.64 and 2,860.97 is: 3,948.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.94 : 7,036.64 = 2,860.97 : x
  2. Step 2: Convert to fraction form
    5,098.94/7,036.64 = 2,860.97/x
  3. Step 3: Cross multiply
    5,098.94x = 7,036.64 × 2,860.97
  4. Step 4: Simplify right side
    5,098.94x = 20,131,626.38
  5. Step 5: Solve for x
    x = 20,131,626.38/5,098.94
  6. Step 6: Final answer
    x = 3,948.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.