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Finding the Fourth Proportional to 3,853.44, 5,780.13 and 2,003.60

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Solution

The fourth proportional to 3,853.44, 5,780.13 and 2,003.60 is: 3,005.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.44 : 5,780.13 = 2,003.60 : x
  2. Step 2: Convert to fraction form
    3,853.44/5,780.13 = 2,003.60/x
  3. Step 3: Cross multiply
    3,853.44x = 5,780.13 × 2,003.60
  4. Step 4: Simplify right side
    3,853.44x = 11,581,068.47
  5. Step 5: Solve for x
    x = 11,581,068.47/3,853.44
  6. Step 6: Final answer
    x = 3,005.38

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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.