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Finding the Fourth Proportional to 3,840.54, 5,300.22 and 2,269.56

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Solution

The fourth proportional to 3,840.54, 5,300.22 and 2,269.56 is: 3,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.54 : 5,300.22 = 2,269.56 : x
  2. Step 2: Convert to fraction form
    3,840.54/5,300.22 = 2,269.56/x
  3. Step 3: Cross multiply
    3,840.54x = 5,300.22 × 2,269.56
  4. Step 4: Simplify right side
    3,840.54x = 12,029,167.30
  5. Step 5: Solve for x
    x = 12,029,167.30/3,840.54
  6. Step 6: Final answer
    x = 3,132.16

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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.