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Finding the Fourth Proportional to 5,677.77, 7,833.49 and 3,438.93

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Solution

The fourth proportional to 5,677.77, 7,833.49 and 3,438.93 is: 4,744.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.77 : 7,833.49 = 3,438.93 : x
  2. Step 2: Convert to fraction form
    5,677.77/7,833.49 = 3,438.93/x
  3. Step 3: Cross multiply
    5,677.77x = 7,833.49 × 3,438.93
  4. Step 4: Simplify right side
    5,677.77x = 26,938,793.20
  5. Step 5: Solve for x
    x = 26,938,793.20/5,677.77
  6. Step 6: Final answer
    x = 4,744.61

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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.