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Finding the Fourth Proportional to 4,900.53, 6,757.62 and 4,618.05

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Solution

The fourth proportional to 4,900.53, 6,757.62 and 4,618.05 is: 6,368.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.53 : 6,757.62 = 4,618.05 : x
  2. Step 2: Convert to fraction form
    4,900.53/6,757.62 = 4,618.05/x
  3. Step 3: Cross multiply
    4,900.53x = 6,757.62 × 4,618.05
  4. Step 4: Simplify right side
    4,900.53x = 31,207,027.04
  5. Step 5: Solve for x
    x = 31,207,027.04/4,900.53
  6. Step 6: Final answer
    x = 6,368.09

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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.