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Finding the Fourth Proportional to 4,494.95, 6,202.82 and 2,505.69

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Solution

The fourth proportional to 4,494.95, 6,202.82 and 2,505.69 is: 3,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.95 : 6,202.82 = 2,505.69 : x
  2. Step 2: Convert to fraction form
    4,494.95/6,202.82 = 2,505.69/x
  3. Step 3: Cross multiply
    4,494.95x = 6,202.82 × 2,505.69
  4. Step 4: Simplify right side
    4,494.95x = 15,542,331.52
  5. Step 5: Solve for x
    x = 15,542,331.52/4,494.95
  6. Step 6: Final answer
    x = 3,457.74

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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.