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Finding the Fourth Proportional to 5,733.41, 7,921.95 and 4,136.90

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Solution

The fourth proportional to 5,733.41, 7,921.95 and 4,136.90 is: 5,716.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.41 : 7,921.95 = 4,136.90 : x
  2. Step 2: Convert to fraction form
    5,733.41/7,921.95 = 4,136.90/x
  3. Step 3: Cross multiply
    5,733.41x = 7,921.95 × 4,136.90
  4. Step 4: Simplify right side
    5,733.41x = 32,772,275.35
  5. Step 5: Solve for x
    x = 32,772,275.35/5,733.41
  6. Step 6: Final answer
    x = 5,716.02

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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.