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Finding the Fourth Proportional to 4,310.47, 5,949.14 and 4,029.06

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Solution

The fourth proportional to 4,310.47, 5,949.14 and 4,029.06 is: 5,560.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.47 : 5,949.14 = 4,029.06 : x
  2. Step 2: Convert to fraction form
    4,310.47/5,949.14 = 4,029.06/x
  3. Step 3: Cross multiply
    4,310.47x = 5,949.14 × 4,029.06
  4. Step 4: Simplify right side
    4,310.47x = 23,969,436.74
  5. Step 5: Solve for x
    x = 23,969,436.74/4,310.47
  6. Step 6: Final answer
    x = 5,560.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.