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Finding the Fourth Proportional to 6,957.38, 9,599.56 and 3,971.58

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Solution

The fourth proportional to 6,957.38, 9,599.56 and 3,971.58 is: 5,479.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.38 : 9,599.56 = 3,971.58 : x
  2. Step 2: Convert to fraction form
    6,957.38/9,599.56 = 3,971.58/x
  3. Step 3: Cross multiply
    6,957.38x = 9,599.56 × 3,971.58
  4. Step 4: Simplify right side
    6,957.38x = 38,125,420.50
  5. Step 5: Solve for x
    x = 38,125,420.50/6,957.38
  6. Step 6: Final answer
    x = 5,479.85

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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.