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Finding the Fourth Proportional to 4,494.94, 6,202.94 and 2,505.60

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Solution

The fourth proportional to 4,494.94, 6,202.94 and 2,505.60 is: 3,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.94 : 6,202.94 = 2,505.60 : x
  2. Step 2: Convert to fraction form
    4,494.94/6,202.94 = 2,505.60/x
  3. Step 3: Cross multiply
    4,494.94x = 6,202.94 × 2,505.60
  4. Step 4: Simplify right side
    4,494.94x = 15,542,073.94
  5. Step 5: Solve for x
    x = 15,542,073.94/4,494.94
  6. Step 6: Final answer
    x = 3,457.68

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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.