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Finding the Fourth Proportional to 4,542.99, 6,815.45 and 1,464.75

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Solution

The fourth proportional to 4,542.99, 6,815.45 and 1,464.75 is: 2,197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.99 : 6,815.45 = 1,464.75 : x
  2. Step 2: Convert to fraction form
    4,542.99/6,815.45 = 1,464.75/x
  3. Step 3: Cross multiply
    4,542.99x = 6,815.45 × 1,464.75
  4. Step 4: Simplify right side
    4,542.99x = 9,982,923.06
  5. Step 5: Solve for x
    x = 9,982,923.06/4,542.99
  6. Step 6: Final answer
    x = 2,197.43

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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.