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Finding the Fourth Proportional to 3,457.67, 5,186.63 and 992.84

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Solution

The fourth proportional to 3,457.67, 5,186.63 and 992.84 is: 1,489.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.67 : 5,186.63 = 992.84 : x
  2. Step 2: Convert to fraction form
    3,457.67/5,186.63 = 992.84/x
  3. Step 3: Cross multiply
    3,457.67x = 5,186.63 × 992.84
  4. Step 4: Simplify right side
    3,457.67x = 5,149,493.73
  5. Step 5: Solve for x
    x = 5,149,493.73/3,457.67
  6. Step 6: Final answer
    x = 1,489.30

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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.