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Finding the Fourth Proportional to 5,951.08, 8,222.70 and 5,740.84

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Solution

The fourth proportional to 5,951.08, 8,222.70 and 5,740.84 is: 7,932.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.08 : 8,222.70 = 5,740.84 : x
  2. Step 2: Convert to fraction form
    5,951.08/8,222.70 = 5,740.84/x
  3. Step 3: Cross multiply
    5,951.08x = 8,222.70 × 5,740.84
  4. Step 4: Simplify right side
    5,951.08x = 47,205,205.07
  5. Step 5: Solve for x
    x = 47,205,205.07/5,951.08
  6. Step 6: Final answer
    x = 7,932.21

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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.