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Finding the Fourth Proportional to 3,874.33, 5,811.35 and 1,534.24

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Solution

The fourth proportional to 3,874.33, 5,811.35 and 1,534.24 is: 2,301.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.33 : 5,811.35 = 1,534.24 : x
  2. Step 2: Convert to fraction form
    3,874.33/5,811.35 = 1,534.24/x
  3. Step 3: Cross multiply
    3,874.33x = 5,811.35 × 1,534.24
  4. Step 4: Simplify right side
    3,874.33x = 8,916,005.22
  5. Step 5: Solve for x
    x = 8,916,005.22/3,874.33
  6. Step 6: Final answer
    x = 2,301.30

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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.