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Finding the Fourth Proportional to 3,143.71, 4,692.03 and 3,091.81

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Solution

The fourth proportional to 3,143.71, 4,692.03 and 3,091.81 is: 4,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.71 : 4,692.03 = 3,091.81 : x
  2. Step 2: Convert to fraction form
    3,143.71/4,692.03 = 3,091.81/x
  3. Step 3: Cross multiply
    3,143.71x = 4,692.03 × 3,091.81
  4. Step 4: Simplify right side
    3,143.71x = 14,506,890.03
  5. Step 5: Solve for x
    x = 14,506,890.03/3,143.71
  6. Step 6: Final answer
    x = 4,614.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.