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Finding the Fourth Proportional to 3,468.16, 5,203.12 and 1,003.18

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Solution

The fourth proportional to 3,468.16, 5,203.12 and 1,003.18 is: 1,505.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.16 : 5,203.12 = 1,003.18 : x
  2. Step 2: Convert to fraction form
    3,468.16/5,203.12 = 1,003.18/x
  3. Step 3: Cross multiply
    3,468.16x = 5,203.12 × 1,003.18
  4. Step 4: Simplify right side
    3,468.16x = 5,219,665.92
  5. Step 5: Solve for x
    x = 5,219,665.92/3,468.16
  6. Step 6: Final answer
    x = 1,505.02

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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.