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Finding the Fourth Proportional to 3,853.45, 5,780.18 and 2,467.44

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Solution

The fourth proportional to 3,853.45, 5,780.18 and 2,467.44 is: 3,701.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.45 : 5,780.18 = 2,467.44 : x
  2. Step 2: Convert to fraction form
    3,853.45/5,780.18 = 2,467.44/x
  3. Step 3: Cross multiply
    3,853.45x = 5,780.18 × 2,467.44
  4. Step 4: Simplify right side
    3,853.45x = 14,262,235.00
  5. Step 5: Solve for x
    x = 14,262,235.00/3,853.45
  6. Step 6: Final answer
    x = 3,701.16

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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.