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Finding the Fourth Proportional to 3,474.36, 5,210.16 and 1,282.80

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Solution

The fourth proportional to 3,474.36, 5,210.16 and 1,282.80 is: 1,923.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.36 : 5,210.16 = 1,282.80 : x
  2. Step 2: Convert to fraction form
    3,474.36/5,210.16 = 1,282.80/x
  3. Step 3: Cross multiply
    3,474.36x = 5,210.16 × 1,282.80
  4. Step 4: Simplify right side
    3,474.36x = 6,683,593.25
  5. Step 5: Solve for x
    x = 6,683,593.25/3,474.36
  6. Step 6: Final answer
    x = 1,923.69

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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.