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Finding the Fourth Proportional to 3,840.88, 5,753.04 and 3,180.72

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Solution

The fourth proportional to 3,840.88, 5,753.04 and 3,180.72 is: 4,764.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.88 : 5,753.04 = 3,180.72 : x
  2. Step 2: Convert to fraction form
    3,840.88/5,753.04 = 3,180.72/x
  3. Step 3: Cross multiply
    3,840.88x = 5,753.04 × 3,180.72
  4. Step 4: Simplify right side
    3,840.88x = 18,298,809.39
  5. Step 5: Solve for x
    x = 18,298,809.39/3,840.88
  6. Step 6: Final answer
    x = 4,764.22

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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.