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Finding the Fourth Proportional to 5,098.66, 7,033.77 and 3,209.38

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Solution

The fourth proportional to 5,098.66, 7,033.77 and 3,209.38 is: 4,427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.66 : 7,033.77 = 3,209.38 : x
  2. Step 2: Convert to fraction form
    5,098.66/7,033.77 = 3,209.38/x
  3. Step 3: Cross multiply
    5,098.66x = 7,033.77 × 3,209.38
  4. Step 4: Simplify right side
    5,098.66x = 22,574,040.76
  5. Step 5: Solve for x
    x = 22,574,040.76/5,098.66
  6. Step 6: Final answer
    x = 4,427.45

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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.