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Finding the Fourth Proportional to 5,770.92, 7,959.78 and 5,684.52

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Solution

The fourth proportional to 5,770.92, 7,959.78 and 5,684.52 is: 7,840.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.92 : 7,959.78 = 5,684.52 : x
  2. Step 2: Convert to fraction form
    5,770.92/7,959.78 = 5,684.52/x
  3. Step 3: Cross multiply
    5,770.92x = 7,959.78 × 5,684.52
  4. Step 4: Simplify right side
    5,770.92x = 45,247,528.61
  5. Step 5: Solve for x
    x = 45,247,528.61/5,770.92
  6. Step 6: Final answer
    x = 7,840.61

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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.