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Finding the Fourth Proportional to 5,156.42, 7,734.63 and 2,963.75

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Solution

The fourth proportional to 5,156.42, 7,734.63 and 2,963.75 is: 4,445.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.42 : 7,734.63 = 2,963.75 : x
  2. Step 2: Convert to fraction form
    5,156.42/7,734.63 = 2,963.75/x
  3. Step 3: Cross multiply
    5,156.42x = 7,734.63 × 2,963.75
  4. Step 4: Simplify right side
    5,156.42x = 22,923,509.66
  5. Step 5: Solve for x
    x = 22,923,509.66/5,156.42
  6. Step 6: Final answer
    x = 4,445.63

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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.