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Finding the Fourth Proportional to 3,476.25, 5,214.42 and 1,424.25

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Solution

The fourth proportional to 3,476.25, 5,214.42 and 1,424.25 is: 2,136.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.25 : 5,214.42 = 1,424.25 : x
  2. Step 2: Convert to fraction form
    3,476.25/5,214.42 = 1,424.25/x
  3. Step 3: Cross multiply
    3,476.25x = 5,214.42 × 1,424.25
  4. Step 4: Simplify right side
    3,476.25x = 7,426,637.69
  5. Step 5: Solve for x
    x = 7,426,637.69/3,476.25
  6. Step 6: Final answer
    x = 2,136.39

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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.