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Finding the Fourth Proportional to 4,172.60, 5,757.54 and 2,404.46

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Solution

The fourth proportional to 4,172.60, 5,757.54 and 2,404.46 is: 3,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.60 : 5,757.54 = 2,404.46 : x
  2. Step 2: Convert to fraction form
    4,172.60/5,757.54 = 2,404.46/x
  3. Step 3: Cross multiply
    4,172.60x = 5,757.54 × 2,404.46
  4. Step 4: Simplify right side
    4,172.60x = 13,843,774.63
  5. Step 5: Solve for x
    x = 13,843,774.63/4,172.60
  6. Step 6: Final answer
    x = 3,317.78

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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.