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Finding the Fourth Proportional to 5,621.36, 7,758.24 and 4,221.68

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Solution

The fourth proportional to 5,621.36, 7,758.24 and 4,221.68 is: 5,826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,621.36 : 7,758.24 = 4,221.68 : x
  2. Step 2: Convert to fraction form
    5,621.36/7,758.24 = 4,221.68/x
  3. Step 3: Cross multiply
    5,621.36x = 7,758.24 × 4,221.68
  4. Step 4: Simplify right side
    5,621.36x = 32,752,806.64
  5. Step 5: Solve for x
    x = 32,752,806.64/5,621.36
  6. Step 6: Final answer
    x = 5,826.49

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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.