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Finding the Fourth Proportional to 4,716.78, 7,074.96 and 1,429.74

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Solution

The fourth proportional to 4,716.78, 7,074.96 and 1,429.74 is: 2,144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.78 : 7,074.96 = 1,429.74 : x
  2. Step 2: Convert to fraction form
    4,716.78/7,074.96 = 1,429.74/x
  3. Step 3: Cross multiply
    4,716.78x = 7,074.96 × 1,429.74
  4. Step 4: Simplify right side
    4,716.78x = 10,115,353.31
  5. Step 5: Solve for x
    x = 10,115,353.31/4,716.78
  6. Step 6: Final answer
    x = 2,144.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.