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Finding the Fourth Proportional to 5,542.51, 7,648.62 and 3,024.62

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Solution

The fourth proportional to 5,542.51, 7,648.62 and 3,024.62 is: 4,173.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.51 : 7,648.62 = 3,024.62 : x
  2. Step 2: Convert to fraction form
    5,542.51/7,648.62 = 3,024.62/x
  3. Step 3: Cross multiply
    5,542.51x = 7,648.62 × 3,024.62
  4. Step 4: Simplify right side
    5,542.51x = 23,134,188.15
  5. Step 5: Solve for x
    x = 23,134,188.15/5,542.51
  6. Step 6: Final answer
    x = 4,173.96

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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.