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Finding the Fourth Proportional to 5,754.68, 7,941.56 and 3,202.50

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Solution

The fourth proportional to 5,754.68, 7,941.56 and 3,202.50 is: 4,419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.68 : 7,941.56 = 3,202.50 : x
  2. Step 2: Convert to fraction form
    5,754.68/7,941.56 = 3,202.50/x
  3. Step 3: Cross multiply
    5,754.68x = 7,941.56 × 3,202.50
  4. Step 4: Simplify right side
    5,754.68x = 25,432,845.90
  5. Step 5: Solve for x
    x = 25,432,845.90/5,754.68
  6. Step 6: Final answer
    x = 4,419.51

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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.