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Finding the Fourth Proportional to 5,972.61, 8,239.74 and 3,847.77

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Solution

The fourth proportional to 5,972.61, 8,239.74 and 3,847.77 is: 5,308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.61 : 8,239.74 = 3,847.77 : x
  2. Step 2: Convert to fraction form
    5,972.61/8,239.74 = 3,847.77/x
  3. Step 3: Cross multiply
    5,972.61x = 8,239.74 × 3,847.77
  4. Step 4: Simplify right side
    5,972.61x = 31,704,624.38
  5. Step 5: Solve for x
    x = 31,704,624.38/5,972.61
  6. Step 6: Final answer
    x = 5,308.34

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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.