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Finding the Fourth Proportional to 4,941, 6,818.49 and 2,952

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Solution

The fourth proportional to 4,941, 6,818.49 and 2,952 is: 4,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941 : 6,818.49 = 2,952 : x
  2. Step 2: Convert to fraction form
    4,941/6,818.49 = 2,952/x
  3. Step 3: Cross multiply
    4,941x = 6,818.49 × 2,952
  4. Step 4: Simplify right side
    4,941x = 20,128,182.48
  5. Step 5: Solve for x
    x = 20,128,182.48/4,941
  6. Step 6: Final answer
    x = 4,073.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.