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Finding the Fourth Proportional to 5,971.88, 8,905.70 and 5,234.92

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Solution

The fourth proportional to 5,971.88, 8,905.70 and 5,234.92 is: 7,806.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.88 : 8,905.70 = 5,234.92 : x
  2. Step 2: Convert to fraction form
    5,971.88/8,905.70 = 5,234.92/x
  3. Step 3: Cross multiply
    5,971.88x = 8,905.70 × 5,234.92
  4. Step 4: Simplify right side
    5,971.88x = 46,620,617.87
  5. Step 5: Solve for x
    x = 46,620,617.87/5,971.88
  6. Step 6: Final answer
    x = 7,806.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.