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Finding the Fourth Proportional to 5,221.86, 7,832.80 and 2,446.51

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Solution

The fourth proportional to 5,221.86, 7,832.80 and 2,446.51 is: 3,669.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.86 : 7,832.80 = 2,446.51 : x
  2. Step 2: Convert to fraction form
    5,221.86/7,832.80 = 2,446.51/x
  3. Step 3: Cross multiply
    5,221.86x = 7,832.80 × 2,446.51
  4. Step 4: Simplify right side
    5,221.86x = 19,163,023.53
  5. Step 5: Solve for x
    x = 19,163,023.53/5,221.86
  6. Step 6: Final answer
    x = 3,669.77

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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.