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Finding the Fourth Proportional to 4,944.24, 7,409.52 and 2,754

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Solution

The fourth proportional to 4,944.24, 7,409.52 and 2,754 is: 4,127.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.24 : 7,409.52 = 2,754 : x
  2. Step 2: Convert to fraction form
    4,944.24/7,409.52 = 2,754/x
  3. Step 3: Cross multiply
    4,944.24x = 7,409.52 × 2,754
  4. Step 4: Simplify right side
    4,944.24x = 20,405,818.08
  5. Step 5: Solve for x
    x = 20,405,818.08/4,944.24
  6. Step 6: Final answer
    x = 4,127.19

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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.