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Finding the Fourth Proportional to 4,749.76, 7,126.08 and 3,365.78

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Solution

The fourth proportional to 4,749.76, 7,126.08 and 3,365.78 is: 5,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.76 : 7,126.08 = 3,365.78 : x
  2. Step 2: Convert to fraction form
    4,749.76/7,126.08 = 3,365.78/x
  3. Step 3: Cross multiply
    4,749.76x = 7,126.08 × 3,365.78
  4. Step 4: Simplify right side
    4,749.76x = 23,984,794.53
  5. Step 5: Solve for x
    x = 23,984,794.53/4,749.76
  6. Step 6: Final answer
    x = 5,049.68

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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.