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Finding the Fourth Proportional to 5,789.62, 8,684.54 and 1,894

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Solution

The fourth proportional to 5,789.62, 8,684.54 and 1,894 is: 2,841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.62 : 8,684.54 = 1,894 : x
  2. Step 2: Convert to fraction form
    5,789.62/8,684.54 = 1,894/x
  3. Step 3: Cross multiply
    5,789.62x = 8,684.54 × 1,894
  4. Step 4: Simplify right side
    5,789.62x = 16,448,518.76
  5. Step 5: Solve for x
    x = 16,448,518.76/5,789.62
  6. Step 6: Final answer
    x = 2,841.04

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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.