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Finding the Fourth Proportional to 5,684.88, 8,486.70 and 5,278.80

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Solution

The fourth proportional to 5,684.88, 8,486.70 and 5,278.80 is: 7,880.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.88 : 8,486.70 = 5,278.80 : x
  2. Step 2: Convert to fraction form
    5,684.88/8,486.70 = 5,278.80/x
  3. Step 3: Cross multiply
    5,684.88x = 8,486.70 × 5,278.80
  4. Step 4: Simplify right side
    5,684.88x = 44,799,591.96
  5. Step 5: Solve for x
    x = 44,799,591.96/5,684.88
  6. Step 6: Final answer
    x = 7,880.48

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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.