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Finding the Fourth Proportional to 6,029.82, 8,320.96 and 3,340.93

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Solution

The fourth proportional to 6,029.82, 8,320.96 and 3,340.93 is: 4,610.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.82 : 8,320.96 = 3,340.93 : x
  2. Step 2: Convert to fraction form
    6,029.82/8,320.96 = 3,340.93/x
  3. Step 3: Cross multiply
    6,029.82x = 8,320.96 × 3,340.93
  4. Step 4: Simplify right side
    6,029.82x = 27,799,744.89
  5. Step 5: Solve for x
    x = 27,799,744.89/6,029.82
  6. Step 6: Final answer
    x = 4,610.38

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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.