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Finding the Fourth Proportional to 3,630.02, 5,437.74 and 1,895

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Solution

The fourth proportional to 3,630.02, 5,437.74 and 1,895 is: 2,838.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.02 : 5,437.74 = 1,895 : x
  2. Step 2: Convert to fraction form
    3,630.02/5,437.74 = 1,895/x
  3. Step 3: Cross multiply
    3,630.02x = 5,437.74 × 1,895
  4. Step 4: Simplify right side
    3,630.02x = 10,304,517.30
  5. Step 5: Solve for x
    x = 10,304,517.30/3,630.02
  6. Step 6: Final answer
    x = 2,838.69

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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.