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Finding the Fourth Proportional to 4,906.40, 7,354.20 and 2,132.60

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Solution

The fourth proportional to 4,906.40, 7,354.20 and 2,132.60 is: 3,196.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.40 : 7,354.20 = 2,132.60 : x
  2. Step 2: Convert to fraction form
    4,906.40/7,354.20 = 2,132.60/x
  3. Step 3: Cross multiply
    4,906.40x = 7,354.20 × 2,132.60
  4. Step 4: Simplify right side
    4,906.40x = 15,683,566.92
  5. Step 5: Solve for x
    x = 15,683,566.92/4,906.40
  6. Step 6: Final answer
    x = 3,196.55

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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.