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Finding the Fourth Proportional to 3,840.87, 5,301.23 and 2,269.20

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Solution

The fourth proportional to 3,840.87, 5,301.23 and 2,269.20 is: 3,131.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.87 : 5,301.23 = 2,269.20 : x
  2. Step 2: Convert to fraction form
    3,840.87/5,301.23 = 2,269.20/x
  3. Step 3: Cross multiply
    3,840.87x = 5,301.23 × 2,269.20
  4. Step 4: Simplify right side
    3,840.87x = 12,029,551.12
  5. Step 5: Solve for x
    x = 12,029,551.12/3,840.87
  6. Step 6: Final answer
    x = 3,131.99

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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.