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Finding the Fourth Proportional to 4,902.57, 6,765.66 and 2,914.83

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Solution

The fourth proportional to 4,902.57, 6,765.66 and 2,914.83 is: 4,022.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.57 : 6,765.66 = 2,914.83 : x
  2. Step 2: Convert to fraction form
    4,902.57/6,765.66 = 2,914.83/x
  3. Step 3: Cross multiply
    4,902.57x = 6,765.66 × 2,914.83
  4. Step 4: Simplify right side
    4,902.57x = 19,720,748.74
  5. Step 5: Solve for x
    x = 19,720,748.74/4,902.57
  6. Step 6: Final answer
    x = 4,022.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.