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Finding the Fourth Proportional to 5,010.49, 7,553.78 and 4,742.58

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Solution

The fourth proportional to 5,010.49, 7,553.78 and 4,742.58 is: 7,149.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,010.49 : 7,553.78 = 4,742.58 : x
  2. Step 2: Convert to fraction form
    5,010.49/7,553.78 = 4,742.58/x
  3. Step 3: Cross multiply
    5,010.49x = 7,553.78 × 4,742.58
  4. Step 4: Simplify right side
    5,010.49x = 35,824,405.95
  5. Step 5: Solve for x
    x = 35,824,405.95/5,010.49
  6. Step 6: Final answer
    x = 7,149.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.