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Finding the Fourth Proportional to 5,888.70, 8,127 and 3,874.23

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Solution

The fourth proportional to 5,888.70, 8,127 and 3,874.23 is: 5,346.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.70 : 8,127 = 3,874.23 : x
  2. Step 2: Convert to fraction form
    5,888.70/8,127 = 3,874.23/x
  3. Step 3: Cross multiply
    5,888.70x = 8,127 × 3,874.23
  4. Step 4: Simplify right side
    5,888.70x = 31,485,867.21
  5. Step 5: Solve for x
    x = 31,485,867.21/5,888.70
  6. Step 6: Final answer
    x = 5,346.83

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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.