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Finding the Fourth Proportional to 3,427.27, 5,140.71 and 962.26

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Solution

The fourth proportional to 3,427.27, 5,140.71 and 962.26 is: 1,443.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.27 : 5,140.71 = 962.26 : x
  2. Step 2: Convert to fraction form
    3,427.27/5,140.71 = 962.26/x
  3. Step 3: Cross multiply
    3,427.27x = 5,140.71 × 962.26
  4. Step 4: Simplify right side
    3,427.27x = 4,946,699.60
  5. Step 5: Solve for x
    x = 4,946,699.60/3,427.27
  6. Step 6: Final answer
    x = 1,443.34

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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.