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Finding the Fourth Proportional to 4,136.66, 5,708.84 and 2,368.23

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Solution

The fourth proportional to 4,136.66, 5,708.84 and 2,368.23 is: 3,268.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.66 : 5,708.84 = 2,368.23 : x
  2. Step 2: Convert to fraction form
    4,136.66/5,708.84 = 2,368.23/x
  3. Step 3: Cross multiply
    4,136.66x = 5,708.84 × 2,368.23
  4. Step 4: Simplify right side
    4,136.66x = 13,519,846.15
  5. Step 5: Solve for x
    x = 13,519,846.15/4,136.66
  6. Step 6: Final answer
    x = 3,268.30

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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.