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Finding the Fourth Proportional to 3,136.92, 4,707.21 and 1,405.55

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Solution

The fourth proportional to 3,136.92, 4,707.21 and 1,405.55 is: 2,109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.92 : 4,707.21 = 1,405.55 : x
  2. Step 2: Convert to fraction form
    3,136.92/4,707.21 = 1,405.55/x
  3. Step 3: Cross multiply
    3,136.92x = 4,707.21 × 1,405.55
  4. Step 4: Simplify right side
    3,136.92x = 6,616,195.48
  5. Step 5: Solve for x
    x = 6,616,195.48/3,136.92
  6. Step 6: Final answer
    x = 2,109.14

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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.