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Finding the Fourth Proportional to 3,427.85, 5,140.97 and 962.90

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Solution

The fourth proportional to 3,427.85, 5,140.97 and 962.90 is: 1,444.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.85 : 5,140.97 = 962.90 : x
  2. Step 2: Convert to fraction form
    3,427.85/5,140.97 = 962.90/x
  3. Step 3: Cross multiply
    3,427.85x = 5,140.97 × 962.90
  4. Step 4: Simplify right side
    3,427.85x = 4,950,235.20
  5. Step 5: Solve for x
    x = 4,950,235.20/3,427.85
  6. Step 6: Final answer
    x = 1,444.12

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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.