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Finding the Fourth Proportional to 5,216.32, 7,201.20 and 4,508.56

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Solution

The fourth proportional to 5,216.32, 7,201.20 and 4,508.56 is: 6,224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.32 : 7,201.20 = 4,508.56 : x
  2. Step 2: Convert to fraction form
    5,216.32/7,201.20 = 4,508.56/x
  3. Step 3: Cross multiply
    5,216.32x = 7,201.20 × 4,508.56
  4. Step 4: Simplify right side
    5,216.32x = 32,467,042.27
  5. Step 5: Solve for x
    x = 32,467,042.27/5,216.32
  6. Step 6: Final answer
    x = 6,224.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.