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Finding the Fourth Proportional to 4,136.54, 5,708.27 and 2,366.89

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Solution

The fourth proportional to 4,136.54, 5,708.27 and 2,366.89 is: 3,266.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.54 : 5,708.27 = 2,366.89 : x
  2. Step 2: Convert to fraction form
    4,136.54/5,708.27 = 2,366.89/x
  3. Step 3: Cross multiply
    4,136.54x = 5,708.27 × 2,366.89
  4. Step 4: Simplify right side
    4,136.54x = 13,510,838.83
  5. Step 5: Solve for x
    x = 13,510,838.83/4,136.54
  6. Step 6: Final answer
    x = 3,266.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.