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Finding the Fourth Proportional to 3,476.90, 5,215.42 and 1,136.92

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Solution

The fourth proportional to 3,476.90, 5,215.42 and 1,136.92 is: 1,705.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.90 : 5,215.42 = 1,136.92 : x
  2. Step 2: Convert to fraction form
    3,476.90/5,215.42 = 1,136.92/x
  3. Step 3: Cross multiply
    3,476.90x = 5,215.42 × 1,136.92
  4. Step 4: Simplify right side
    3,476.90x = 5,929,489.23
  5. Step 5: Solve for x
    x = 5,929,489.23/3,476.90
  6. Step 6: Final answer
    x = 1,705.40

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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.