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Finding the Fourth Proportional to 5,642.46, 8,462.07 and 1,693.56

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Solution

The fourth proportional to 5,642.46, 8,462.07 and 1,693.56 is: 2,539.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.46 : 8,462.07 = 1,693.56 : x
  2. Step 2: Convert to fraction form
    5,642.46/8,462.07 = 1,693.56/x
  3. Step 3: Cross multiply
    5,642.46x = 8,462.07 × 1,693.56
  4. Step 4: Simplify right side
    5,642.46x = 14,331,023.27
  5. Step 5: Solve for x
    x = 14,331,023.27/5,642.46
  6. Step 6: Final answer
    x = 2,539.85

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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.