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Finding the Fourth Proportional to 4,908.24, 7,361.28 and 1,444.68

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Solution

The fourth proportional to 4,908.24, 7,361.28 and 1,444.68 is: 2,166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,908.24 : 7,361.28 = 1,444.68 : x
  2. Step 2: Convert to fraction form
    4,908.24/7,361.28 = 1,444.68/x
  3. Step 3: Cross multiply
    4,908.24x = 7,361.28 × 1,444.68
  4. Step 4: Simplify right side
    4,908.24x = 10,634,693.99
  5. Step 5: Solve for x
    x = 10,634,693.99/4,908.24
  6. Step 6: Final answer
    x = 2,166.70

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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.