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Finding the Fourth Proportional to 3,427.42, 5,140.05 and 961.60

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Solution

The fourth proportional to 3,427.42, 5,140.05 and 961.60 is: 1,442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.42 : 5,140.05 = 961.60 : x
  2. Step 2: Convert to fraction form
    3,427.42/5,140.05 = 961.60/x
  3. Step 3: Cross multiply
    3,427.42x = 5,140.05 × 961.60
  4. Step 4: Simplify right side
    3,427.42x = 4,942,672.08
  5. Step 5: Solve for x
    x = 4,942,672.08/3,427.42
  6. Step 6: Final answer
    x = 1,442.10

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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.