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Finding the Fourth Proportional to 3,800.48, 5,244.32 and 2,121.74

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Solution

The fourth proportional to 3,800.48, 5,244.32 and 2,121.74 is: 2,927.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.48 : 5,244.32 = 2,121.74 : x
  2. Step 2: Convert to fraction form
    3,800.48/5,244.32 = 2,121.74/x
  3. Step 3: Cross multiply
    3,800.48x = 5,244.32 × 2,121.74
  4. Step 4: Simplify right side
    3,800.48x = 11,127,083.52
  5. Step 5: Solve for x
    x = 11,127,083.52/3,800.48
  6. Step 6: Final answer
    x = 2,927.81

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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.