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Finding the Fourth Proportional to 5,049.46, 7,575.73 and 1,762.83

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Solution

The fourth proportional to 5,049.46, 7,575.73 and 1,762.83 is: 2,644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.46 : 7,575.73 = 1,762.83 : x
  2. Step 2: Convert to fraction form
    5,049.46/7,575.73 = 1,762.83/x
  3. Step 3: Cross multiply
    5,049.46x = 7,575.73 × 1,762.83
  4. Step 4: Simplify right side
    5,049.46x = 13,354,719.71
  5. Step 5: Solve for x
    x = 13,354,719.71/5,049.46
  6. Step 6: Final answer
    x = 2,644.78

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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.