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Finding the Fourth Proportional to 4,922.50, 6,793.05 and 2,714.50

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Solution

The fourth proportional to 4,922.50, 6,793.05 and 2,714.50 is: 3,746.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.50 : 6,793.05 = 2,714.50 : x
  2. Step 2: Convert to fraction form
    4,922.50/6,793.05 = 2,714.50/x
  3. Step 3: Cross multiply
    4,922.50x = 6,793.05 × 2,714.50
  4. Step 4: Simplify right side
    4,922.50x = 18,439,734.23
  5. Step 5: Solve for x
    x = 18,439,734.23/4,922.50
  6. Step 6: Final answer
    x = 3,746.01

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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.