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Finding the Fourth Proportional to 5,929.61, 8,894.09 and 3,007.83

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Solution

The fourth proportional to 5,929.61, 8,894.09 and 3,007.83 is: 4,511.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.61 : 8,894.09 = 3,007.83 : x
  2. Step 2: Convert to fraction form
    5,929.61/8,894.09 = 3,007.83/x
  3. Step 3: Cross multiply
    5,929.61x = 8,894.09 × 3,007.83
  4. Step 4: Simplify right side
    5,929.61x = 26,751,934.68
  5. Step 5: Solve for x
    x = 26,751,934.68/5,929.61
  6. Step 6: Final answer
    x = 4,511.59

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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.