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Finding the Fourth Proportional to 4,931.62, 7,397.22 and 2,738.95

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Solution

The fourth proportional to 4,931.62, 7,397.22 and 2,738.95 is: 4,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931.62 : 7,397.22 = 2,738.95 : x
  2. Step 2: Convert to fraction form
    4,931.62/7,397.22 = 2,738.95/x
  3. Step 3: Cross multiply
    4,931.62x = 7,397.22 × 2,738.95
  4. Step 4: Simplify right side
    4,931.62x = 20,260,607.50
  5. Step 5: Solve for x
    x = 20,260,607.50/4,931.62
  6. Step 6: Final answer
    x = 4,108.31

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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.