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Finding the Fourth Proportional to 5,214.85, 7,803.06 and 3,136.12

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Solution

The fourth proportional to 5,214.85, 7,803.06 and 3,136.12 is: 4,692.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.85 : 7,803.06 = 3,136.12 : x
  2. Step 2: Convert to fraction form
    5,214.85/7,803.06 = 3,136.12/x
  3. Step 3: Cross multiply
    5,214.85x = 7,803.06 × 3,136.12
  4. Step 4: Simplify right side
    5,214.85x = 24,471,332.53
  5. Step 5: Solve for x
    x = 24,471,332.53/5,214.85
  6. Step 6: Final answer
    x = 4,692.62

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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.