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Finding the Fourth Proportional to 3,477.35, 5,214.92 and 1,136.82

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Solution

The fourth proportional to 3,477.35, 5,214.92 and 1,136.82 is: 1,704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.35 : 5,214.92 = 1,136.82 : x
  2. Step 2: Convert to fraction form
    3,477.35/5,214.92 = 1,136.82/x
  3. Step 3: Cross multiply
    3,477.35x = 5,214.92 × 1,136.82
  4. Step 4: Simplify right side
    3,477.35x = 5,928,419.67
  5. Step 5: Solve for x
    x = 5,928,419.67/3,477.35
  6. Step 6: Final answer
    x = 1,704.87

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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.