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Finding the Fourth Proportional to 6,509.38, 8,983.20 and 3,677.36

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Solution

The fourth proportional to 6,509.38, 8,983.20 and 3,677.36 is: 5,074.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.38 : 8,983.20 = 3,677.36 : x
  2. Step 2: Convert to fraction form
    6,509.38/8,983.20 = 3,677.36/x
  3. Step 3: Cross multiply
    6,509.38x = 8,983.20 × 3,677.36
  4. Step 4: Simplify right side
    6,509.38x = 33,034,460.35
  5. Step 5: Solve for x
    x = 33,034,460.35/6,509.38
  6. Step 6: Final answer
    x = 5,074.90

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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.