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Finding the Fourth Proportional to 5,335.24, 8,003.78 and 2,003.20

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Solution

The fourth proportional to 5,335.24, 8,003.78 and 2,003.20 is: 3,005.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.24 : 8,003.78 = 2,003.20 : x
  2. Step 2: Convert to fraction form
    5,335.24/8,003.78 = 2,003.20/x
  3. Step 3: Cross multiply
    5,335.24x = 8,003.78 × 2,003.20
  4. Step 4: Simplify right side
    5,335.24x = 16,033,172.10
  5. Step 5: Solve for x
    x = 16,033,172.10/5,335.24
  6. Step 6: Final answer
    x = 3,005.15

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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.