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Finding the Fourth Proportional to 2,857.94, 4,277.17 and 2,396.24

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Solution

The fourth proportional to 2,857.94, 4,277.17 and 2,396.24 is: 3,586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.94 : 4,277.17 = 2,396.24 : x
  2. Step 2: Convert to fraction form
    2,857.94/4,277.17 = 2,396.24/x
  3. Step 3: Cross multiply
    2,857.94x = 4,277.17 × 2,396.24
  4. Step 4: Simplify right side
    2,857.94x = 10,249,125.84
  5. Step 5: Solve for x
    x = 10,249,125.84/2,857.94
  6. Step 6: Final answer
    x = 3,586.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.