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Finding the Fourth Proportional to 3,827.39, 5,737.43 and 1,228.50

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Solution

The fourth proportional to 3,827.39, 5,737.43 and 1,228.50 is: 1,841.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.39 : 5,737.43 = 1,228.50 : x
  2. Step 2: Convert to fraction form
    3,827.39/5,737.43 = 1,228.50/x
  3. Step 3: Cross multiply
    3,827.39x = 5,737.43 × 1,228.50
  4. Step 4: Simplify right side
    3,827.39x = 7,048,435.83
  5. Step 5: Solve for x
    x = 7,048,435.83/3,827.39
  6. Step 6: Final answer
    x = 1,841.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.