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Finding the Fourth Proportional to 5,261.34, 7,891.76 and 1,974.17

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Solution

The fourth proportional to 5,261.34, 7,891.76 and 1,974.17 is: 2,961.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.34 : 7,891.76 = 1,974.17 : x
  2. Step 2: Convert to fraction form
    5,261.34/7,891.76 = 1,974.17/x
  3. Step 3: Cross multiply
    5,261.34x = 7,891.76 × 1,974.17
  4. Step 4: Simplify right side
    5,261.34x = 15,579,685.70
  5. Step 5: Solve for x
    x = 15,579,685.70/5,261.34
  6. Step 6: Final answer
    x = 2,961.16

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1.5x scale

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.