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Finding the Fourth Proportional to 5,972.76, 8,241.21 and 5,080.14

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Solution

The fourth proportional to 5,972.76, 8,241.21 and 5,080.14 is: 7,009.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.76 : 8,241.21 = 5,080.14 : x
  2. Step 2: Convert to fraction form
    5,972.76/8,241.21 = 5,080.14/x
  3. Step 3: Cross multiply
    5,972.76x = 8,241.21 × 5,080.14
  4. Step 4: Simplify right side
    5,972.76x = 41,866,500.57
  5. Step 5: Solve for x
    x = 41,866,500.57/5,972.76
  6. Step 6: Final answer
    x = 7,009.57

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1.5x scale

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.