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Finding the Fourth Proportional to 5,041.63, 6,951.18 and 3,977.29

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Solution

The fourth proportional to 5,041.63, 6,951.18 and 3,977.29 is: 5,483.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041.63 : 6,951.18 = 3,977.29 : x
  2. Step 2: Convert to fraction form
    5,041.63/6,951.18 = 3,977.29/x
  3. Step 3: Cross multiply
    5,041.63x = 6,951.18 × 3,977.29
  4. Step 4: Simplify right side
    5,041.63x = 27,646,858.70
  5. Step 5: Solve for x
    x = 27,646,858.70/5,041.63
  6. Step 6: Final answer
    x = 5,483.71

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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.