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Finding the Fourth Proportional to 4,138.58, 5,703.22 and 3,431.45

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Solution

The fourth proportional to 4,138.58, 5,703.22 and 3,431.45 is: 4,728.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.58 : 5,703.22 = 3,431.45 : x
  2. Step 2: Convert to fraction form
    4,138.58/5,703.22 = 3,431.45/x
  3. Step 3: Cross multiply
    4,138.58x = 5,703.22 × 3,431.45
  4. Step 4: Simplify right side
    4,138.58x = 19,570,314.27
  5. Step 5: Solve for x
    x = 19,570,314.27/4,138.58
  6. Step 6: Final answer
    x = 4,728.75

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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.