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Finding the Fourth Proportional to 4,138.93, 5,711.99 and 2,346.57

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Solution

The fourth proportional to 4,138.93, 5,711.99 and 2,346.57 is: 3,238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.93 : 5,711.99 = 2,346.57 : x
  2. Step 2: Convert to fraction form
    4,138.93/5,711.99 = 2,346.57/x
  3. Step 3: Cross multiply
    4,138.93x = 5,711.99 × 2,346.57
  4. Step 4: Simplify right side
    4,138.93x = 13,403,572.64
  5. Step 5: Solve for x
    x = 13,403,572.64/4,138.93
  6. Step 6: Final answer
    x = 3,238.41

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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.