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Finding the Fourth Proportional to 5,101.66, 7,037.90 and 3,212.38

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Solution

The fourth proportional to 5,101.66, 7,037.90 and 3,212.38 is: 4,431.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.66 : 7,037.90 = 3,212.38 : x
  2. Step 2: Convert to fraction form
    5,101.66/7,037.90 = 3,212.38/x
  3. Step 3: Cross multiply
    5,101.66x = 7,037.90 × 3,212.38
  4. Step 4: Simplify right side
    5,101.66x = 22,608,409.20
  5. Step 5: Solve for x
    x = 22,608,409.20/5,101.66
  6. Step 6: Final answer
    x = 4,431.58

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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.