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Finding the Fourth Proportional to 5,827.80, 8,741.70 and 4,199.70

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Solution

The fourth proportional to 5,827.80, 8,741.70 and 4,199.70 is: 6,299.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.80 : 8,741.70 = 4,199.70 : x
  2. Step 2: Convert to fraction form
    5,827.80/8,741.70 = 4,199.70/x
  3. Step 3: Cross multiply
    5,827.80x = 8,741.70 × 4,199.70
  4. Step 4: Simplify right side
    5,827.80x = 36,712,517.49
  5. Step 5: Solve for x
    x = 36,712,517.49/5,827.80
  6. Step 6: Final answer
    x = 6,299.55

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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.