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Finding the Fourth Proportional to 5,677.97, 7,834.42 and 3,439.99

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Solution

The fourth proportional to 5,677.97, 7,834.42 and 3,439.99 is: 4,746.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.97 : 7,834.42 = 3,439.99 : x
  2. Step 2: Convert to fraction form
    5,677.97/7,834.42 = 3,439.99/x
  3. Step 3: Cross multiply
    5,677.97x = 7,834.42 × 3,439.99
  4. Step 4: Simplify right side
    5,677.97x = 26,950,326.46
  5. Step 5: Solve for x
    x = 26,950,326.46/5,677.97
  6. Step 6: Final answer
    x = 4,746.47

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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.