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Finding the Fourth Proportional to 4,532.64, 6,824 and 3,550.68

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Solution

The fourth proportional to 4,532.64, 6,824 and 3,550.68 is: 5,345.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.64 : 6,824 = 3,550.68 : x
  2. Step 2: Convert to fraction form
    4,532.64/6,824 = 3,550.68/x
  3. Step 3: Cross multiply
    4,532.64x = 6,824 × 3,550.68
  4. Step 4: Simplify right side
    4,532.64x = 24,229,840.32
  5. Step 5: Solve for x
    x = 24,229,840.32/4,532.64
  6. Step 6: Final answer
    x = 5,345.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.