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Finding the Fourth Proportional to 4,902.76, 7,363.60 and 4,201.56

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Solution

The fourth proportional to 4,902.76, 7,363.60 and 4,201.56 is: 6,310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.76 : 7,363.60 = 4,201.56 : x
  2. Step 2: Convert to fraction form
    4,902.76/7,363.60 = 4,201.56/x
  3. Step 3: Cross multiply
    4,902.76x = 7,363.60 × 4,201.56
  4. Step 4: Simplify right side
    4,902.76x = 30,938,607.22
  5. Step 5: Solve for x
    x = 30,938,607.22/4,902.76
  6. Step 6: Final answer
    x = 6,310.45

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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.