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Finding the Fourth Proportional to 5,607.72, 8,402.22 and 3,826.17

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Solution

The fourth proportional to 5,607.72, 8,402.22 and 3,826.17 is: 5,732.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.72 : 8,402.22 = 3,826.17 : x
  2. Step 2: Convert to fraction form
    5,607.72/8,402.22 = 3,826.17/x
  3. Step 3: Cross multiply
    5,607.72x = 8,402.22 × 3,826.17
  4. Step 4: Simplify right side
    5,607.72x = 32,148,322.10
  5. Step 5: Solve for x
    x = 32,148,322.10/5,607.72
  6. Step 6: Final answer
    x = 5,732.87

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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.