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Finding the Fourth Proportional to 4,136.51, 5,708.07 and 2,543.41

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Solution

The fourth proportional to 4,136.51, 5,708.07 and 2,543.41 is: 3,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.51 : 5,708.07 = 2,543.41 : x
  2. Step 2: Convert to fraction form
    4,136.51/5,708.07 = 2,543.41/x
  3. Step 3: Cross multiply
    4,136.51x = 5,708.07 × 2,543.41
  4. Step 4: Simplify right side
    4,136.51x = 14,517,977.48
  5. Step 5: Solve for x
    x = 14,517,977.48/4,136.51
  6. Step 6: Final answer
    x = 3,509.72

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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.