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Finding the Fourth Proportional to 4,349.73, 6,523.03 and 1,575.68

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Solution

The fourth proportional to 4,349.73, 6,523.03 and 1,575.68 is: 2,362.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,349.73 : 6,523.03 = 1,575.68 : x
  2. Step 2: Convert to fraction form
    4,349.73/6,523.03 = 1,575.68/x
  3. Step 3: Cross multiply
    4,349.73x = 6,523.03 × 1,575.68
  4. Step 4: Simplify right side
    4,349.73x = 10,278,207.91
  5. Step 5: Solve for x
    x = 10,278,207.91/4,349.73
  6. Step 6: Final answer
    x = 2,362.95

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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.