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Finding the Fourth Proportional to 3,457.92, 5,186.07 and 992.28

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Solution

The fourth proportional to 3,457.92, 5,186.07 and 992.28 is: 1,488.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.92 : 5,186.07 = 992.28 : x
  2. Step 2: Convert to fraction form
    3,457.92/5,186.07 = 992.28/x
  3. Step 3: Cross multiply
    3,457.92x = 5,186.07 × 992.28
  4. Step 4: Simplify right side
    3,457.92x = 5,146,033.54
  5. Step 5: Solve for x
    x = 5,146,033.54/3,457.92
  6. Step 6: Final answer
    x = 1,488.19

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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.