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Finding the Fourth Proportional to 4,663.78, 6,995.67 and 1,542.95

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Solution

The fourth proportional to 4,663.78, 6,995.67 and 1,542.95 is: 2,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.78 : 6,995.67 = 1,542.95 : x
  2. Step 2: Convert to fraction form
    4,663.78/6,995.67 = 1,542.95/x
  3. Step 3: Cross multiply
    4,663.78x = 6,995.67 × 1,542.95
  4. Step 4: Simplify right side
    4,663.78x = 10,793,932.36
  5. Step 5: Solve for x
    x = 10,793,932.36/4,663.78
  6. Step 6: Final answer
    x = 2,314.42

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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.