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Finding the Fourth Proportional to 3,778.53, 5,629.82 and 3,566.32

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Solution

The fourth proportional to 3,778.53, 5,629.82 and 3,566.32 is: 5,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.53 : 5,629.82 = 3,566.32 : x
  2. Step 2: Convert to fraction form
    3,778.53/5,629.82 = 3,566.32/x
  3. Step 3: Cross multiply
    3,778.53x = 5,629.82 × 3,566.32
  4. Step 4: Simplify right side
    3,778.53x = 20,077,743.65
  5. Step 5: Solve for x
    x = 20,077,743.65/3,778.53
  6. Step 6: Final answer
    x = 5,313.64

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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.