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Finding the Fourth Proportional to 5,023.71, 7,533 and 2,944.38

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Solution

The fourth proportional to 5,023.71, 7,533 and 2,944.38 is: 4,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,023.71 : 7,533 = 2,944.38 : x
  2. Step 2: Convert to fraction form
    5,023.71/7,533 = 2,944.38/x
  3. Step 3: Cross multiply
    5,023.71x = 7,533 × 2,944.38
  4. Step 4: Simplify right side
    5,023.71x = 22,180,014.54
  5. Step 5: Solve for x
    x = 22,180,014.54/5,023.71
  6. Step 6: Final answer
    x = 4,415.07

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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.