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Finding the Fourth Proportional to 4,493.74, 6,735.88 and 3,102.57

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Solution

The fourth proportional to 4,493.74, 6,735.88 and 3,102.57 is: 4,650.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.74 : 6,735.88 = 3,102.57 : x
  2. Step 2: Convert to fraction form
    4,493.74/6,735.88 = 3,102.57/x
  3. Step 3: Cross multiply
    4,493.74x = 6,735.88 × 3,102.57
  4. Step 4: Simplify right side
    4,493.74x = 20,898,539.21
  5. Step 5: Solve for x
    x = 20,898,539.21/4,493.74
  6. Step 6: Final answer
    x = 4,650.59

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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.