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Finding the Fourth Proportional to 5,537.02, 7,641.09 and 3,019.09

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Solution

The fourth proportional to 5,537.02, 7,641.09 and 3,019.09 is: 4,166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.02 : 7,641.09 = 3,019.09 : x
  2. Step 2: Convert to fraction form
    5,537.02/7,641.09 = 3,019.09/x
  3. Step 3: Cross multiply
    5,537.02x = 7,641.09 × 3,019.09
  4. Step 4: Simplify right side
    5,537.02x = 23,069,119.31
  5. Step 5: Solve for x
    x = 23,069,119.31/5,537.02
  6. Step 6: Final answer
    x = 4,166.34

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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.