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Finding the Fourth Proportional to 6,508.69, 8,986.31 and 4,029.01

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Solution

The fourth proportional to 6,508.69, 8,986.31 and 4,029.01 is: 5,562.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.69 : 8,986.31 = 4,029.01 : x
  2. Step 2: Convert to fraction form
    6,508.69/8,986.31 = 4,029.01/x
  3. Step 3: Cross multiply
    6,508.69x = 8,986.31 × 4,029.01
  4. Step 4: Simplify right side
    6,508.69x = 36,205,905.35
  5. Step 5: Solve for x
    x = 36,205,905.35/6,508.69
  6. Step 6: Final answer
    x = 5,562.70

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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.