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Finding the Fourth Proportional to 3,837.84, 5,728.74 and 3,293.52

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Solution

The fourth proportional to 3,837.84, 5,728.74 and 3,293.52 is: 4,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.84 : 5,728.74 = 3,293.52 : x
  2. Step 2: Convert to fraction form
    3,837.84/5,728.74 = 3,293.52/x
  3. Step 3: Cross multiply
    3,837.84x = 5,728.74 × 3,293.52
  4. Step 4: Simplify right side
    3,837.84x = 18,867,719.76
  5. Step 5: Solve for x
    x = 18,867,719.76/3,837.84
  6. Step 6: Final answer
    x = 4,916.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.