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Finding the Fourth Proportional to 3,883.60, 5,825.40 and 2,238.70

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Solution

The fourth proportional to 3,883.60, 5,825.40 and 2,238.70 is: 3,358.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.60 : 5,825.40 = 2,238.70 : x
  2. Step 2: Convert to fraction form
    3,883.60/5,825.40 = 2,238.70/x
  3. Step 3: Cross multiply
    3,883.60x = 5,825.40 × 2,238.70
  4. Step 4: Simplify right side
    3,883.60x = 13,041,322.98
  5. Step 5: Solve for x
    x = 13,041,322.98/3,883.60
  6. Step 6: Final answer
    x = 3,358.05

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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.