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Finding the Fourth Proportional to 5,048.64, 7,572.96 and 4,224.96

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Solution

The fourth proportional to 5,048.64, 7,572.96 and 4,224.96 is: 6,337.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.64 : 7,572.96 = 4,224.96 : x
  2. Step 2: Convert to fraction form
    5,048.64/7,572.96 = 4,224.96/x
  3. Step 3: Cross multiply
    5,048.64x = 7,572.96 × 4,224.96
  4. Step 4: Simplify right side
    5,048.64x = 31,995,453.08
  5. Step 5: Solve for x
    x = 31,995,453.08/5,048.64
  6. Step 6: Final answer
    x = 6,337.44

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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.