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Finding the Fourth Proportional to 3,427.22, 5,140.06 and 962.29

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Solution

The fourth proportional to 3,427.22, 5,140.06 and 962.29 is: 1,443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.22 : 5,140.06 = 962.29 : x
  2. Step 2: Convert to fraction form
    3,427.22/5,140.06 = 962.29/x
  3. Step 3: Cross multiply
    3,427.22x = 5,140.06 × 962.29
  4. Step 4: Simplify right side
    3,427.22x = 4,946,208.86
  5. Step 5: Solve for x
    x = 4,946,208.86/3,427.22
  6. Step 6: Final answer
    x = 1,443.21

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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.