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Finding the Fourth Proportional to 3,470.95, 5,190.99 and 3,083.47

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Solution

The fourth proportional to 3,470.95, 5,190.99 and 3,083.47 is: 4,611.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.95 : 5,190.99 = 3,083.47 : x
  2. Step 2: Convert to fraction form
    3,470.95/5,190.99 = 3,083.47/x
  3. Step 3: Cross multiply
    3,470.95x = 5,190.99 × 3,083.47
  4. Step 4: Simplify right side
    3,470.95x = 16,006,237.39
  5. Step 5: Solve for x
    x = 16,006,237.39/3,470.95
  6. Step 6: Final answer
    x = 4,611.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.