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Finding the Fourth Proportional to 4,663.94, 6,996.24 and 1,543.82

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Solution

The fourth proportional to 4,663.94, 6,996.24 and 1,543.82 is: 2,315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.94 : 6,996.24 = 1,543.82 : x
  2. Step 2: Convert to fraction form
    4,663.94/6,996.24 = 1,543.82/x
  3. Step 3: Cross multiply
    4,663.94x = 6,996.24 × 1,543.82
  4. Step 4: Simplify right side
    4,663.94x = 10,800,935.24
  5. Step 5: Solve for x
    x = 10,800,935.24/4,663.94
  6. Step 6: Final answer
    x = 2,315.84

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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.