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Finding the Fourth Proportional to 3,429.60, 4,734.03 and 2,172.78

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Solution

The fourth proportional to 3,429.60, 4,734.03 and 2,172.78 is: 2,999.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.60 : 4,734.03 = 2,172.78 : x
  2. Step 2: Convert to fraction form
    3,429.60/4,734.03 = 2,172.78/x
  3. Step 3: Cross multiply
    3,429.60x = 4,734.03 × 2,172.78
  4. Step 4: Simplify right side
    3,429.60x = 10,286,005.70
  5. Step 5: Solve for x
    x = 10,286,005.70/3,429.60
  6. Step 6: Final answer
    x = 2,999.19

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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.