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Finding the Fourth Proportional to 5,564.24, 7,672.68 and 4,689.68

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Solution

The fourth proportional to 5,564.24, 7,672.68 and 4,689.68 is: 6,466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.24 : 7,672.68 = 4,689.68 : x
  2. Step 2: Convert to fraction form
    5,564.24/7,672.68 = 4,689.68/x
  3. Step 3: Cross multiply
    5,564.24x = 7,672.68 × 4,689.68
  4. Step 4: Simplify right side
    5,564.24x = 35,982,413.94
  5. Step 5: Solve for x
    x = 35,982,413.94/5,564.24
  6. Step 6: Final answer
    x = 6,466.73

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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.