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Finding the Fourth Proportional to 4,911.24, 7,365.78 and 1,447.68

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Solution

The fourth proportional to 4,911.24, 7,365.78 and 1,447.68 is: 2,171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.24 : 7,365.78 = 1,447.68 : x
  2. Step 2: Convert to fraction form
    4,911.24/7,365.78 = 1,447.68/x
  3. Step 3: Cross multiply
    4,911.24x = 7,365.78 × 1,447.68
  4. Step 4: Simplify right side
    4,911.24x = 10,663,292.39
  5. Step 5: Solve for x
    x = 10,663,292.39/4,911.24
  6. Step 6: Final answer
    x = 2,171.20

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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.