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Finding the Fourth Proportional to 5,562.97, 7,677.76 and 3,172.95

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Solution

The fourth proportional to 5,562.97, 7,677.76 and 3,172.95 is: 4,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562.97 : 7,677.76 = 3,172.95 : x
  2. Step 2: Convert to fraction form
    5,562.97/7,677.76 = 3,172.95/x
  3. Step 3: Cross multiply
    5,562.97x = 7,677.76 × 3,172.95
  4. Step 4: Simplify right side
    5,562.97x = 24,361,107.90
  5. Step 5: Solve for x
    x = 24,361,107.90/5,562.97
  6. Step 6: Final answer
    x = 4,379.16

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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.