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Finding the Fourth Proportional to 5,970.11, 8,255.12 and 5,037.39

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Solution

The fourth proportional to 5,970.11, 8,255.12 and 5,037.39 is: 6,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.11 : 8,255.12 = 5,037.39 : x
  2. Step 2: Convert to fraction form
    5,970.11/8,255.12 = 5,037.39/x
  3. Step 3: Cross multiply
    5,970.11x = 8,255.12 × 5,037.39
  4. Step 4: Simplify right side
    5,970.11x = 41,584,233.75
  5. Step 5: Solve for x
    x = 41,584,233.75/5,970.11
  6. Step 6: Final answer
    x = 6,965.41

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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.