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Finding the Fourth Proportional to 3,565.64, 4,921.22 and 2,622.80

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Solution

The fourth proportional to 3,565.64, 4,921.22 and 2,622.80 is: 3,619.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.64 : 4,921.22 = 2,622.80 : x
  2. Step 2: Convert to fraction form
    3,565.64/4,921.22 = 2,622.80/x
  3. Step 3: Cross multiply
    3,565.64x = 4,921.22 × 2,622.80
  4. Step 4: Simplify right side
    3,565.64x = 12,907,375.82
  5. Step 5: Solve for x
    x = 12,907,375.82/3,565.64
  6. Step 6: Final answer
    x = 3,619.93

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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.