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Finding the Fourth Proportional to 3,468.78, 5,203.14 and 1,737.36

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Solution

The fourth proportional to 3,468.78, 5,203.14 and 1,737.36 is: 2,606.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.78 : 5,203.14 = 1,737.36 : x
  2. Step 2: Convert to fraction form
    3,468.78/5,203.14 = 1,737.36/x
  3. Step 3: Cross multiply
    3,468.78x = 5,203.14 × 1,737.36
  4. Step 4: Simplify right side
    3,468.78x = 9,039,727.31
  5. Step 5: Solve for x
    x = 9,039,727.31/3,468.78
  6. Step 6: Final answer
    x = 2,606.02

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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.