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Finding the Fourth Proportional to 4,935.24, 7,403.76 and 2,471.76

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Solution

The fourth proportional to 4,935.24, 7,403.76 and 2,471.76 is: 3,708.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935.24 : 7,403.76 = 2,471.76 : x
  2. Step 2: Convert to fraction form
    4,935.24/7,403.76 = 2,471.76/x
  3. Step 3: Cross multiply
    4,935.24x = 7,403.76 × 2,471.76
  4. Step 4: Simplify right side
    4,935.24x = 18,300,317.82
  5. Step 5: Solve for x
    x = 18,300,317.82/4,935.24
  6. Step 6: Final answer
    x = 3,708.09

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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.