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Finding the Fourth Proportional to 4,131.98, 6,199.99 and 2,283.15

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Solution

The fourth proportional to 4,131.98, 6,199.99 and 2,283.15 is: 3,425.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131.98 : 6,199.99 = 2,283.15 : x
  2. Step 2: Convert to fraction form
    4,131.98/6,199.99 = 2,283.15/x
  3. Step 3: Cross multiply
    4,131.98x = 6,199.99 × 2,283.15
  4. Step 4: Simplify right side
    4,131.98x = 14,155,537.55
  5. Step 5: Solve for x
    x = 14,155,537.55/4,131.98
  6. Step 6: Final answer
    x = 3,425.85

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