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Finding the Fourth Proportional to 5,338, 8,005.52 and 2,741.68

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Solution

The fourth proportional to 5,338, 8,005.52 and 2,741.68 is: 4,111.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338 : 8,005.52 = 2,741.68 : x
  2. Step 2: Convert to fraction form
    5,338/8,005.52 = 2,741.68/x
  3. Step 3: Cross multiply
    5,338x = 8,005.52 × 2,741.68
  4. Step 4: Simplify right side
    5,338x = 21,948,574.07
  5. Step 5: Solve for x
    x = 21,948,574.07/5,338
  6. Step 6: Final answer
    x = 4,111.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.