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Finding the Fourth Proportional to 3,771.40, 5,204.64 and 2,069.98

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Solution

The fourth proportional to 3,771.40, 5,204.64 and 2,069.98 is: 2,856.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.40 : 5,204.64 = 2,069.98 : x
  2. Step 2: Convert to fraction form
    3,771.40/5,204.64 = 2,069.98/x
  3. Step 3: Cross multiply
    3,771.40x = 5,204.64 × 2,069.98
  4. Step 4: Simplify right side
    3,771.40x = 10,773,500.71
  5. Step 5: Solve for x
    x = 10,773,500.71/3,771.40
  6. Step 6: Final answer
    x = 2,856.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.