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Finding the Fourth Proportional to 4,963.93, 7,447.04 and 1,453.86

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Solution

The fourth proportional to 4,963.93, 7,447.04 and 1,453.86 is: 2,181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.93 : 7,447.04 = 1,453.86 : x
  2. Step 2: Convert to fraction form
    4,963.93/7,447.04 = 1,453.86/x
  3. Step 3: Cross multiply
    4,963.93x = 7,447.04 × 1,453.86
  4. Step 4: Simplify right side
    4,963.93x = 10,826,951.76
  5. Step 5: Solve for x
    x = 10,826,951.76/4,963.93
  6. Step 6: Final answer
    x = 2,181.13

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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.