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Finding the Fourth Proportional to 3,596.44, 5,395.14 and 1,256.20

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Solution

The fourth proportional to 3,596.44, 5,395.14 and 1,256.20 is: 1,884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.44 : 5,395.14 = 1,256.20 : x
  2. Step 2: Convert to fraction form
    3,596.44/5,395.14 = 1,256.20/x
  3. Step 3: Cross multiply
    3,596.44x = 5,395.14 × 1,256.20
  4. Step 4: Simplify right side
    3,596.44x = 6,777,374.87
  5. Step 5: Solve for x
    x = 6,777,374.87/3,596.44
  6. Step 6: Final answer
    x = 1,884.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.