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Finding the Fourth Proportional to 5,446.80, 8,158.05 and 4,210.20

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Solution

The fourth proportional to 5,446.80, 8,158.05 and 4,210.20 is: 6,305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.80 : 8,158.05 = 4,210.20 : x
  2. Step 2: Convert to fraction form
    5,446.80/8,158.05 = 4,210.20/x
  3. Step 3: Cross multiply
    5,446.80x = 8,158.05 × 4,210.20
  4. Step 4: Simplify right side
    5,446.80x = 34,347,022.11
  5. Step 5: Solve for x
    x = 34,347,022.11/5,446.80
  6. Step 6: Final answer
    x = 6,305.91

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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.