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Finding the Fourth Proportional to 5,906.30, 8,842.16 and 3,582.14

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Solution

The fourth proportional to 5,906.30, 8,842.16 and 3,582.14 is: 5,362.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.30 : 8,842.16 = 3,582.14 : x
  2. Step 2: Convert to fraction form
    5,906.30/8,842.16 = 3,582.14/x
  3. Step 3: Cross multiply
    5,906.30x = 8,842.16 × 3,582.14
  4. Step 4: Simplify right side
    5,906.30x = 31,673,819.77
  5. Step 5: Solve for x
    x = 31,673,819.77/5,906.30
  6. Step 6: Final answer
    x = 5,362.72

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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.