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Finding the Fourth Proportional to 4,126, 5,694 and 2,263.12

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Solution

The fourth proportional to 4,126, 5,694 and 2,263.12 is: 3,123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,126 : 5,694 = 2,263.12 : x
  2. Step 2: Convert to fraction form
    4,126/5,694 = 2,263.12/x
  3. Step 3: Cross multiply
    4,126x = 5,694 × 2,263.12
  4. Step 4: Simplify right side
    4,126x = 12,886,205.28
  5. Step 5: Solve for x
    x = 12,886,205.28/4,126
  6. Step 6: Final answer
    x = 3,123.17

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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.