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Finding the Fourth Proportional to 4,011.64, 5,538.24 and 3,695.44

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Solution

The fourth proportional to 4,011.64, 5,538.24 and 3,695.44 is: 5,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,011.64 : 5,538.24 = 3,695.44 : x
  2. Step 2: Convert to fraction form
    4,011.64/5,538.24 = 3,695.44/x
  3. Step 3: Cross multiply
    4,011.64x = 5,538.24 × 3,695.44
  4. Step 4: Simplify right side
    4,011.64x = 20,466,233.63
  5. Step 5: Solve for x
    x = 20,466,233.63/4,011.64
  6. Step 6: Final answer
    x = 5,101.71

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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.