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Finding the Fourth Proportional to 5,695.88, 7,860.61 and 3,338.78

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Solution

The fourth proportional to 5,695.88, 7,860.61 and 3,338.78 is: 4,607.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.88 : 7,860.61 = 3,338.78 : x
  2. Step 2: Convert to fraction form
    5,695.88/7,860.61 = 3,338.78/x
  3. Step 3: Cross multiply
    5,695.88x = 7,860.61 × 3,338.78
  4. Step 4: Simplify right side
    5,695.88x = 26,244,812.33
  5. Step 5: Solve for x
    x = 26,244,812.33/5,695.88
  6. Step 6: Final answer
    x = 4,607.69

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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.