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Finding the Fourth Proportional to 3,596.27, 5,395.71 and 1,256.63

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Solution

The fourth proportional to 3,596.27, 5,395.71 and 1,256.63 is: 1,885.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.27 : 5,395.71 = 1,256.63 : x
  2. Step 2: Convert to fraction form
    3,596.27/5,395.71 = 1,256.63/x
  3. Step 3: Cross multiply
    3,596.27x = 5,395.71 × 1,256.63
  4. Step 4: Simplify right side
    3,596.27x = 6,780,384.08
  5. Step 5: Solve for x
    x = 6,780,384.08/3,596.27
  6. Step 6: Final answer
    x = 1,885.39

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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.