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Finding the Fourth Proportional to 5,677.43, 7,835.54 and 3,439.25

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Solution

The fourth proportional to 5,677.43, 7,835.54 and 3,439.25 is: 4,746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.43 : 7,835.54 = 3,439.25 : x
  2. Step 2: Convert to fraction form
    5,677.43/7,835.54 = 3,439.25/x
  3. Step 3: Cross multiply
    5,677.43x = 7,835.54 × 3,439.25
  4. Step 4: Simplify right side
    5,677.43x = 26,948,380.95
  5. Step 5: Solve for x
    x = 26,948,380.95/5,677.43
  6. Step 6: Final answer
    x = 4,746.58

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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.