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Finding the Fourth Proportional to 3,456.86, 5,159.74 and 3,213.04

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Solution

The fourth proportional to 3,456.86, 5,159.74 and 3,213.04 is: 4,795.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.86 : 5,159.74 = 3,213.04 : x
  2. Step 2: Convert to fraction form
    3,456.86/5,159.74 = 3,213.04/x
  3. Step 3: Cross multiply
    3,456.86x = 5,159.74 × 3,213.04
  4. Step 4: Simplify right side
    3,456.86x = 16,578,451.01
  5. Step 5: Solve for x
    x = 16,578,451.01/3,456.86
  6. Step 6: Final answer
    x = 4,795.81

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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.