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Finding the Fourth Proportional to 5,894.68, 8,843.12 and 2,430.04

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Solution

The fourth proportional to 5,894.68, 8,843.12 and 2,430.04 is: 3,645.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.68 : 8,843.12 = 2,430.04 : x
  2. Step 2: Convert to fraction form
    5,894.68/8,843.12 = 2,430.04/x
  3. Step 3: Cross multiply
    5,894.68x = 8,843.12 × 2,430.04
  4. Step 4: Simplify right side
    5,894.68x = 21,489,135.32
  5. Step 5: Solve for x
    x = 21,489,135.32/5,894.68
  6. Step 6: Final answer
    x = 3,645.51

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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.