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Finding the Fourth Proportional to 5,537.24, 7,641.24 and 3,019.40

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Solution

The fourth proportional to 5,537.24, 7,641.24 and 3,019.40 is: 4,166.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.24 : 7,641.24 = 3,019.40 : x
  2. Step 2: Convert to fraction form
    5,537.24/7,641.24 = 3,019.40/x
  3. Step 3: Cross multiply
    5,537.24x = 7,641.24 × 3,019.40
  4. Step 4: Simplify right side
    5,537.24x = 23,071,921.85
  5. Step 5: Solve for x
    x = 23,071,921.85/5,537.24
  6. Step 6: Final answer
    x = 4,166.69

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