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Finding the Fourth Proportional to 4,734.82, 7,100.68 and 1,571.54

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Solution

The fourth proportional to 4,734.82, 7,100.68 and 1,571.54 is: 2,356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.82 : 7,100.68 = 1,571.54 : x
  2. Step 2: Convert to fraction form
    4,734.82/7,100.68 = 1,571.54/x
  3. Step 3: Cross multiply
    4,734.82x = 7,100.68 × 1,571.54
  4. Step 4: Simplify right side
    4,734.82x = 11,158,966.16
  5. Step 5: Solve for x
    x = 11,158,966.16/4,734.82
  6. Step 6: Final answer
    x = 2,356.79

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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.