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Finding the Fourth Proportional to 4,657.24, 6,985.86 and 1,194.49

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Solution

The fourth proportional to 4,657.24, 6,985.86 and 1,194.49 is: 1,791.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.24 : 6,985.86 = 1,194.49 : x
  2. Step 2: Convert to fraction form
    4,657.24/6,985.86 = 1,194.49/x
  3. Step 3: Cross multiply
    4,657.24x = 6,985.86 × 1,194.49
  4. Step 4: Simplify right side
    4,657.24x = 8,344,553.12
  5. Step 5: Solve for x
    x = 8,344,553.12/4,657.24
  6. Step 6: Final answer
    x = 1,791.74

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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.