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Finding the Fourth Proportional to 5,874.56, 8,809.76 and 4,226.16

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Solution

The fourth proportional to 5,874.56, 8,809.76 and 4,226.16 is: 6,337.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.56 : 8,809.76 = 4,226.16 : x
  2. Step 2: Convert to fraction form
    5,874.56/8,809.76 = 4,226.16/x
  3. Step 3: Cross multiply
    5,874.56x = 8,809.76 × 4,226.16
  4. Step 4: Simplify right side
    5,874.56x = 37,231,455.32
  5. Step 5: Solve for x
    x = 37,231,455.32/5,874.56
  6. Step 6: Final answer
    x = 6,337.74

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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.