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Finding the Fourth Proportional to 3,171.60, 4,735.81 and 2,798.29

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Solution

The fourth proportional to 3,171.60, 4,735.81 and 2,798.29 is: 4,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.60 : 4,735.81 = 2,798.29 : x
  2. Step 2: Convert to fraction form
    3,171.60/4,735.81 = 2,798.29/x
  3. Step 3: Cross multiply
    3,171.60x = 4,735.81 × 2,798.29
  4. Step 4: Simplify right side
    3,171.60x = 13,252,187.05
  5. Step 5: Solve for x
    x = 13,252,187.05/3,171.60
  6. Step 6: Final answer
    x = 4,178.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.