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Finding the Fourth Proportional to 3,848.12, 5,772.18 and 2,203.50

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Solution

The fourth proportional to 3,848.12, 5,772.18 and 2,203.50 is: 3,305.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.12 : 5,772.18 = 2,203.50 : x
  2. Step 2: Convert to fraction form
    3,848.12/5,772.18 = 2,203.50/x
  3. Step 3: Cross multiply
    3,848.12x = 5,772.18 × 2,203.50
  4. Step 4: Simplify right side
    3,848.12x = 12,718,998.63
  5. Step 5: Solve for x
    x = 12,718,998.63/3,848.12
  6. Step 6: Final answer
    x = 3,305.25

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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.