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Finding the Fourth Proportional to 4,321.97, 5,962.24 and 4,154.30

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Solution

The fourth proportional to 4,321.97, 5,962.24 and 4,154.30 is: 5,730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.97 : 5,962.24 = 4,154.30 : x
  2. Step 2: Convert to fraction form
    4,321.97/5,962.24 = 4,154.30/x
  3. Step 3: Cross multiply
    4,321.97x = 5,962.24 × 4,154.30
  4. Step 4: Simplify right side
    4,321.97x = 24,768,933.63
  5. Step 5: Solve for x
    x = 24,768,933.63/4,321.97
  6. Step 6: Final answer
    x = 5,730.94

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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.