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Finding the Fourth Proportional to 5,418.64, 8,127.96 and 1,523.18

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Solution

The fourth proportional to 5,418.64, 8,127.96 and 1,523.18 is: 2,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,418.64 : 8,127.96 = 1,523.18 : x
  2. Step 2: Convert to fraction form
    5,418.64/8,127.96 = 1,523.18/x
  3. Step 3: Cross multiply
    5,418.64x = 8,127.96 × 1,523.18
  4. Step 4: Simplify right side
    5,418.64x = 12,380,346.11
  5. Step 5: Solve for x
    x = 12,380,346.11/5,418.64
  6. Step 6: Final answer
    x = 2,284.77

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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.