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Finding the Fourth Proportional to 4,126, 5,694.18 and 2,357.57

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Solution

The fourth proportional to 4,126, 5,694.18 and 2,357.57 is: 3,253.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,126 : 5,694.18 = 2,357.57 : x
  2. Step 2: Convert to fraction form
    4,126/5,694.18 = 2,357.57/x
  3. Step 3: Cross multiply
    4,126x = 5,694.18 × 2,357.57
  4. Step 4: Simplify right side
    4,126x = 13,424,399.47
  5. Step 5: Solve for x
    x = 13,424,399.47/4,126
  6. Step 6: Final answer
    x = 3,253.61

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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.