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Finding the Fourth Proportional to 6,672.04, 9,208.26 and 3,877

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Solution

The fourth proportional to 6,672.04, 9,208.26 and 3,877 is: 5,350.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,672.04 : 9,208.26 = 3,877 : x
  2. Step 2: Convert to fraction form
    6,672.04/9,208.26 = 3,877/x
  3. Step 3: Cross multiply
    6,672.04x = 9,208.26 × 3,877
  4. Step 4: Simplify right side
    6,672.04x = 35,700,424.02
  5. Step 5: Solve for x
    x = 35,700,424.02/6,672.04
  6. Step 6: Final answer
    x = 5,350.75

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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.