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Finding the Fourth Proportional to 5,497.24, 8,232 and 3,642.80

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Solution

The fourth proportional to 5,497.24, 8,232 and 3,642.80 is: 5,455.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.24 : 8,232 = 3,642.80 : x
  2. Step 2: Convert to fraction form
    5,497.24/8,232 = 3,642.80/x
  3. Step 3: Cross multiply
    5,497.24x = 8,232 × 3,642.80
  4. Step 4: Simplify right side
    5,497.24x = 29,987,529.60
  5. Step 5: Solve for x
    x = 29,987,529.60/5,497.24
  6. Step 6: Final answer
    x = 5,455.02

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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.