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Finding the Fourth Proportional to 5,545.88, 7,642.75 and 3,971.24

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Solution

The fourth proportional to 5,545.88, 7,642.75 and 3,971.24 is: 5,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,545.88 : 7,642.75 = 3,971.24 : x
  2. Step 2: Convert to fraction form
    5,545.88/7,642.75 = 3,971.24/x
  3. Step 3: Cross multiply
    5,545.88x = 7,642.75 × 3,971.24
  4. Step 4: Simplify right side
    5,545.88x = 30,351,194.51
  5. Step 5: Solve for x
    x = 30,351,194.51/5,545.88
  6. Step 6: Final answer
    x = 5,472.75

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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.