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Finding the Fourth Proportional to 4,149.98, 5,731.95 and 3,029.14

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Solution

The fourth proportional to 4,149.98, 5,731.95 and 3,029.14 is: 4,183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.98 : 5,731.95 = 3,029.14 : x
  2. Step 2: Convert to fraction form
    4,149.98/5,731.95 = 3,029.14/x
  3. Step 3: Cross multiply
    4,149.98x = 5,731.95 × 3,029.14
  4. Step 4: Simplify right side
    4,149.98x = 17,362,897.55
  5. Step 5: Solve for x
    x = 17,362,897.55/4,149.98
  6. Step 6: Final answer
    x = 4,183.85

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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.