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Finding the Fourth Proportional to 5,868.50, 8,102.85 and 4,002.26

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Solution

The fourth proportional to 5,868.50, 8,102.85 and 4,002.26 is: 5,526.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.50 : 8,102.85 = 4,002.26 : x
  2. Step 2: Convert to fraction form
    5,868.50/8,102.85 = 4,002.26/x
  3. Step 3: Cross multiply
    5,868.50x = 8,102.85 × 4,002.26
  4. Step 4: Simplify right side
    5,868.50x = 32,429,712.44
  5. Step 5: Solve for x
    x = 32,429,712.44/5,868.50
  6. Step 6: Final answer
    x = 5,526.06

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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.