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Finding the Fourth Proportional to 5,774.63, 8,668.08 and 2,859.17

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Solution

The fourth proportional to 5,774.63, 8,668.08 and 2,859.17 is: 4,291.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.63 : 8,668.08 = 2,859.17 : x
  2. Step 2: Convert to fraction form
    5,774.63/8,668.08 = 2,859.17/x
  3. Step 3: Cross multiply
    5,774.63x = 8,668.08 × 2,859.17
  4. Step 4: Simplify right side
    5,774.63x = 24,783,470.95
  5. Step 5: Solve for x
    x = 24,783,470.95/5,774.63
  6. Step 6: Final answer
    x = 4,291.79

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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.