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Finding the Fourth Proportional to 4,138.34, 5,711.16 and 2,369.91

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Solution

The fourth proportional to 4,138.34, 5,711.16 and 2,369.91 is: 3,270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.34 : 5,711.16 = 2,369.91 : x
  2. Step 2: Convert to fraction form
    4,138.34/5,711.16 = 2,369.91/x
  3. Step 3: Cross multiply
    4,138.34x = 5,711.16 × 2,369.91
  4. Step 4: Simplify right side
    4,138.34x = 13,534,935.20
  5. Step 5: Solve for x
    x = 13,534,935.20/4,138.34
  6. Step 6: Final answer
    x = 3,270.62

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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.