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Finding the Fourth Proportional to 5,583.32, 8,370.66 and 2,663

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Solution

The fourth proportional to 5,583.32, 8,370.66 and 2,663 is: 3,992.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.32 : 8,370.66 = 2,663 : x
  2. Step 2: Convert to fraction form
    5,583.32/8,370.66 = 2,663/x
  3. Step 3: Cross multiply
    5,583.32x = 8,370.66 × 2,663
  4. Step 4: Simplify right side
    5,583.32x = 22,291,067.58
  5. Step 5: Solve for x
    x = 22,291,067.58/5,583.32
  6. Step 6: Final answer
    x = 3,992.44

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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.