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Finding the Fourth Proportional to 5,261.63, 7,892.79 and 1,974.81

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Solution

The fourth proportional to 5,261.63, 7,892.79 and 1,974.81 is: 2,962.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.63 : 7,892.79 = 1,974.81 : x
  2. Step 2: Convert to fraction form
    5,261.63/7,892.79 = 1,974.81/x
  3. Step 3: Cross multiply
    5,261.63x = 7,892.79 × 1,974.81
  4. Step 4: Simplify right side
    5,261.63x = 15,586,711.28
  5. Step 5: Solve for x
    x = 15,586,711.28/5,261.63
  6. Step 6: Final answer
    x = 2,962.34

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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.