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Finding the Fourth Proportional to 3,856.90, 5,780.83 and 3,393.72

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Solution

The fourth proportional to 3,856.90, 5,780.83 and 3,393.72 is: 5,086.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.90 : 5,780.83 = 3,393.72 : x
  2. Step 2: Convert to fraction form
    3,856.90/5,780.83 = 3,393.72/x
  3. Step 3: Cross multiply
    3,856.90x = 5,780.83 × 3,393.72
  4. Step 4: Simplify right side
    3,856.90x = 19,618,518.39
  5. Step 5: Solve for x
    x = 19,618,518.39/3,856.90
  6. Step 6: Final answer
    x = 5,086.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.