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Finding the Fourth Proportional to 5,537.16, 7,641.16 and 3,019.29

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Solution

The fourth proportional to 5,537.16, 7,641.16 and 3,019.29 is: 4,166.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.16 : 7,641.16 = 3,019.29 : x
  2. Step 2: Convert to fraction form
    5,537.16/7,641.16 = 3,019.29/x
  3. Step 3: Cross multiply
    5,537.16x = 7,641.16 × 3,019.29
  4. Step 4: Simplify right side
    5,537.16x = 23,070,910.80
  5. Step 5: Solve for x
    x = 23,070,910.80/5,537.16
  6. Step 6: Final answer
    x = 4,166.56

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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.