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Finding the Fourth Proportional to 3,578.64, 5,336.22 and 3,340.32

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Solution

The fourth proportional to 3,578.64, 5,336.22 and 3,340.32 is: 4,980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.64 : 5,336.22 = 3,340.32 : x
  2. Step 2: Convert to fraction form
    3,578.64/5,336.22 = 3,340.32/x
  3. Step 3: Cross multiply
    3,578.64x = 5,336.22 × 3,340.32
  4. Step 4: Simplify right side
    3,578.64x = 17,824,682.39
  5. Step 5: Solve for x
    x = 17,824,682.39/3,578.64
  6. Step 6: Final answer
    x = 4,980.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.