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Finding the Fourth Proportional to 3,914.40, 5,871.90 and 1,141.11

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Solution

The fourth proportional to 3,914.40, 5,871.90 and 1,141.11 is: 1,711.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.40 : 5,871.90 = 1,141.11 : x
  2. Step 2: Convert to fraction form
    3,914.40/5,871.90 = 1,141.11/x
  3. Step 3: Cross multiply
    3,914.40x = 5,871.90 × 1,141.11
  4. Step 4: Simplify right side
    3,914.40x = 6,700,483.81
  5. Step 5: Solve for x
    x = 6,700,483.81/3,914.40
  6. Step 6: Final answer
    x = 1,711.75

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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.