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Finding the Fourth Proportional to 5,262.06, 7,892.82 and 1,974.90

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Solution

The fourth proportional to 5,262.06, 7,892.82 and 1,974.90 is: 2,962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.06 : 7,892.82 = 1,974.90 : x
  2. Step 2: Convert to fraction form
    5,262.06/7,892.82 = 1,974.90/x
  3. Step 3: Cross multiply
    5,262.06x = 7,892.82 × 1,974.90
  4. Step 4: Simplify right side
    5,262.06x = 15,587,530.22
  5. Step 5: Solve for x
    x = 15,587,530.22/5,262.06
  6. Step 6: Final answer
    x = 2,962.25

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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.