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Finding the Fourth Proportional to 3,429.84, 5,134.68 and 2,127.12

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Solution

The fourth proportional to 3,429.84, 5,134.68 and 2,127.12 is: 3,184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.84 : 5,134.68 = 2,127.12 : x
  2. Step 2: Convert to fraction form
    3,429.84/5,134.68 = 2,127.12/x
  3. Step 3: Cross multiply
    3,429.84x = 5,134.68 × 2,127.12
  4. Step 4: Simplify right side
    3,429.84x = 10,922,080.52
  5. Step 5: Solve for x
    x = 10,922,080.52/3,429.84
  6. Step 6: Final answer
    x = 3,184.43

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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.