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Finding the Fourth Proportional to 3,468.52, 5,203.58 and 1,003.24

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Solution

The fourth proportional to 3,468.52, 5,203.58 and 1,003.24 is: 1,505.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.52 : 5,203.58 = 1,003.24 : x
  2. Step 2: Convert to fraction form
    3,468.52/5,203.58 = 1,003.24/x
  3. Step 3: Cross multiply
    3,468.52x = 5,203.58 × 1,003.24
  4. Step 4: Simplify right side
    3,468.52x = 5,220,439.60
  5. Step 5: Solve for x
    x = 5,220,439.60/3,468.52
  6. Step 6: Final answer
    x = 1,505.09

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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.