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Finding the Fourth Proportional to 3,742.70, 5,617.50 and 1,895.11

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Solution

The fourth proportional to 3,742.70, 5,617.50 and 1,895.11 is: 2,844.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.70 : 5,617.50 = 1,895.11 : x
  2. Step 2: Convert to fraction form
    3,742.70/5,617.50 = 1,895.11/x
  3. Step 3: Cross multiply
    3,742.70x = 5,617.50 × 1,895.11
  4. Step 4: Simplify right side
    3,742.70x = 10,645,777.83
  5. Step 5: Solve for x
    x = 10,645,777.83/3,742.70
  6. Step 6: Final answer
    x = 2,844.41

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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.