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Finding the Fourth Proportional to 3,859.85, 5,788.23 and 1,393.32

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Solution

The fourth proportional to 3,859.85, 5,788.23 and 1,393.32 is: 2,089.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.85 : 5,788.23 = 1,393.32 : x
  2. Step 2: Convert to fraction form
    3,859.85/5,788.23 = 1,393.32/x
  3. Step 3: Cross multiply
    3,859.85x = 5,788.23 × 1,393.32
  4. Step 4: Simplify right side
    3,859.85x = 8,064,856.62
  5. Step 5: Solve for x
    x = 8,064,856.62/3,859.85
  6. Step 6: Final answer
    x = 2,089.42

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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.