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Finding the Fourth Proportional to 5,894.57, 8,842.97 and 3,816.62

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Solution

The fourth proportional to 5,894.57, 8,842.97 and 3,816.62 is: 5,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.57 : 8,842.97 = 3,816.62 : x
  2. Step 2: Convert to fraction form
    5,894.57/8,842.97 = 3,816.62/x
  3. Step 3: Cross multiply
    5,894.57x = 8,842.97 × 3,816.62
  4. Step 4: Simplify right side
    5,894.57x = 33,750,254.65
  5. Step 5: Solve for x
    x = 33,750,254.65/5,894.57
  6. Step 6: Final answer
    x = 5,725.65

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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.