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Finding the Fourth Proportional to 5,982.50, 8,255.85 and 3,498.50

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Solution

The fourth proportional to 5,982.50, 8,255.85 and 3,498.50 is: 4,827.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.50 : 8,255.85 = 3,498.50 : x
  2. Step 2: Convert to fraction form
    5,982.50/8,255.85 = 3,498.50/x
  3. Step 3: Cross multiply
    5,982.50x = 8,255.85 × 3,498.50
  4. Step 4: Simplify right side
    5,982.50x = 28,883,091.23
  5. Step 5: Solve for x
    x = 28,883,091.23/5,982.50
  6. Step 6: Final answer
    x = 4,827.93

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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.