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Finding the Fourth Proportional to 5,624.24, 8,427.24 and 3,426.30

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Solution

The fourth proportional to 5,624.24, 8,427.24 and 3,426.30 is: 5,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.24 : 8,427.24 = 3,426.30 : x
  2. Step 2: Convert to fraction form
    5,624.24/8,427.24 = 3,426.30/x
  3. Step 3: Cross multiply
    5,624.24x = 8,427.24 × 3,426.30
  4. Step 4: Simplify right side
    5,624.24x = 28,874,252.41
  5. Step 5: Solve for x
    x = 28,874,252.41/5,624.24
  6. Step 6: Final answer
    x = 5,133.90

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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.