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Finding the Fourth Proportional to 3,215.28, 4,822.40 and 1,136.84

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Solution

The fourth proportional to 3,215.28, 4,822.40 and 1,136.84 is: 1,705.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.28 : 4,822.40 = 1,136.84 : x
  2. Step 2: Convert to fraction form
    3,215.28/4,822.40 = 1,136.84/x
  3. Step 3: Cross multiply
    3,215.28x = 4,822.40 × 1,136.84
  4. Step 4: Simplify right side
    3,215.28x = 5,482,297.22
  5. Step 5: Solve for x
    x = 5,482,297.22/3,215.28
  6. Step 6: Final answer
    x = 1,705.08

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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.