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Finding the Fourth Proportional to 5,689.42, 7,852.04 and 3,171.76

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Solution

The fourth proportional to 5,689.42, 7,852.04 and 3,171.76 is: 4,377.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.42 : 7,852.04 = 3,171.76 : x
  2. Step 2: Convert to fraction form
    5,689.42/7,852.04 = 3,171.76/x
  3. Step 3: Cross multiply
    5,689.42x = 7,852.04 × 3,171.76
  4. Step 4: Simplify right side
    5,689.42x = 24,904,786.39
  5. Step 5: Solve for x
    x = 24,904,786.39/5,689.42
  6. Step 6: Final answer
    x = 4,377.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.