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Finding the Fourth Proportional to 4,599.17, 6,839.97 and 4,549.96

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Solution

The fourth proportional to 4,599.17, 6,839.97 and 4,549.96 is: 6,766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.17 : 6,839.97 = 4,549.96 : x
  2. Step 2: Convert to fraction form
    4,599.17/6,839.97 = 4,549.96/x
  3. Step 3: Cross multiply
    4,599.17x = 6,839.97 × 4,549.96
  4. Step 4: Simplify right side
    4,599.17x = 31,121,567.15
  5. Step 5: Solve for x
    x = 31,121,567.15/4,599.17
  6. Step 6: Final answer
    x = 6,766.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.