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Finding the Fourth Proportional to 3,468.15, 5,203.14 and 1,003.17

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Solution

The fourth proportional to 3,468.15, 5,203.14 and 1,003.17 is: 1,505.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.15 : 5,203.14 = 1,003.17 : x
  2. Step 2: Convert to fraction form
    3,468.15/5,203.14 = 1,003.17/x
  3. Step 3: Cross multiply
    3,468.15x = 5,203.14 × 1,003.17
  4. Step 4: Simplify right side
    3,468.15x = 5,219,633.95
  5. Step 5: Solve for x
    x = 5,219,633.95/3,468.15
  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.