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Finding the Fourth Proportional to 5,166.96, 7,752.04 and 1,790.04

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Solution

The fourth proportional to 5,166.96, 7,752.04 and 1,790.04 is: 2,685.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.96 : 7,752.04 = 1,790.04 : x
  2. Step 2: Convert to fraction form
    5,166.96/7,752.04 = 1,790.04/x
  3. Step 3: Cross multiply
    5,166.96x = 7,752.04 × 1,790.04
  4. Step 4: Simplify right side
    5,166.96x = 13,876,461.68
  5. Step 5: Solve for x
    x = 13,876,461.68/5,166.96
  6. Step 6: Final answer
    x = 2,685.61

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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.