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Finding the Fourth Proportional to 5,233.84, 7,855.36 and 2,462

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Solution

The fourth proportional to 5,233.84, 7,855.36 and 2,462 is: 3,695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.84 : 7,855.36 = 2,462 : x
  2. Step 2: Convert to fraction form
    5,233.84/7,855.36 = 2,462/x
  3. Step 3: Cross multiply
    5,233.84x = 7,855.36 × 2,462
  4. Step 4: Simplify right side
    5,233.84x = 19,339,896.32
  5. Step 5: Solve for x
    x = 19,339,896.32/5,233.84
  6. Step 6: Final answer
    x = 3,695.16

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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.