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Finding the Fourth Proportional to 4,172.26, 5,758.14 and 2,404.24

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Solution

The fourth proportional to 4,172.26, 5,758.14 and 2,404.24 is: 3,318.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.26 : 5,758.14 = 2,404.24 : x
  2. Step 2: Convert to fraction form
    4,172.26/5,758.14 = 2,404.24/x
  3. Step 3: Cross multiply
    4,172.26x = 5,758.14 × 2,404.24
  4. Step 4: Simplify right side
    4,172.26x = 13,843,950.51
  5. Step 5: Solve for x
    x = 13,843,950.51/4,172.26
  6. Step 6: Final answer
    x = 3,318.09

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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.