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Finding the Fourth Proportional to 3,444.24, 5,163.12 and 1,902

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Solution

The fourth proportional to 3,444.24, 5,163.12 and 1,902 is: 2,851.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.24 : 5,163.12 = 1,902 : x
  2. Step 2: Convert to fraction form
    3,444.24/5,163.12 = 1,902/x
  3. Step 3: Cross multiply
    3,444.24x = 5,163.12 × 1,902
  4. Step 4: Simplify right side
    3,444.24x = 9,820,254.24
  5. Step 5: Solve for x
    x = 9,820,254.24/3,444.24
  6. Step 6: Final answer
    x = 2,851.21

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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.