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Finding the Fourth Proportional to 6,029.66, 9,044.50 and 2,949.50

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Solution

The fourth proportional to 6,029.66, 9,044.50 and 2,949.50 is: 4,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.66 : 9,044.50 = 2,949.50 : x
  2. Step 2: Convert to fraction form
    6,029.66/9,044.50 = 2,949.50/x
  3. Step 3: Cross multiply
    6,029.66x = 9,044.50 × 2,949.50
  4. Step 4: Simplify right side
    6,029.66x = 26,676,752.75
  5. Step 5: Solve for x
    x = 26,676,752.75/6,029.66
  6. Step 6: Final answer
    x = 4,424.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.