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Finding the Fourth Proportional to 5,821.70, 8,033.68 and 3,169.10

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Solution

The fourth proportional to 5,821.70, 8,033.68 and 3,169.10 is: 4,373.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.70 : 8,033.68 = 3,169.10 : x
  2. Step 2: Convert to fraction form
    5,821.70/8,033.68 = 3,169.10/x
  3. Step 3: Cross multiply
    5,821.70x = 8,033.68 × 3,169.10
  4. Step 4: Simplify right side
    5,821.70x = 25,459,536.74
  5. Step 5: Solve for x
    x = 25,459,536.74/5,821.70
  6. Step 6: Final answer
    x = 4,373.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.