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Finding the Fourth Proportional to 3,429.21, 5,143.83 and 832.15

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Solution

The fourth proportional to 3,429.21, 5,143.83 and 832.15 is: 1,248.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.21 : 5,143.83 = 832.15 : x
  2. Step 2: Convert to fraction form
    3,429.21/5,143.83 = 832.15/x
  3. Step 3: Cross multiply
    3,429.21x = 5,143.83 × 832.15
  4. Step 4: Simplify right side
    3,429.21x = 4,280,429.32
  5. Step 5: Solve for x
    x = 4,280,429.32/3,429.21
  6. Step 6: Final answer
    x = 1,248.23

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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.