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Finding the Fourth Proportional to 5,867.35, 8,096.90 and 3,214.77

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Solution

The fourth proportional to 5,867.35, 8,096.90 and 3,214.77 is: 4,436.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.35 : 8,096.90 = 3,214.77 : x
  2. Step 2: Convert to fraction form
    5,867.35/8,096.90 = 3,214.77/x
  3. Step 3: Cross multiply
    5,867.35x = 8,096.90 × 3,214.77
  4. Step 4: Simplify right side
    5,867.35x = 26,029,697.45
  5. Step 5: Solve for x
    x = 26,029,697.45/5,867.35
  6. Step 6: Final answer
    x = 4,436.36

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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.