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Finding the Fourth Proportional to 4,125.44, 5,693.12 and 2,447.67

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Solution

The fourth proportional to 4,125.44, 5,693.12 and 2,447.67 is: 3,377.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125.44 : 5,693.12 = 2,447.67 : x
  2. Step 2: Convert to fraction form
    4,125.44/5,693.12 = 2,447.67/x
  3. Step 3: Cross multiply
    4,125.44x = 5,693.12 × 2,447.67
  4. Step 4: Simplify right side
    4,125.44x = 13,934,888.14
  5. Step 5: Solve for x
    x = 13,934,888.14/4,125.44
  6. Step 6: Final answer
    x = 3,377.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.