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Finding the Fourth Proportional to 5,776.84, 8,668.50 and 2,857.96

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Solution

The fourth proportional to 5,776.84, 8,668.50 and 2,857.96 is: 4,288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.84 : 8,668.50 = 2,857.96 : x
  2. Step 2: Convert to fraction form
    5,776.84/8,668.50 = 2,857.96/x
  3. Step 3: Cross multiply
    5,776.84x = 8,668.50 × 2,857.96
  4. Step 4: Simplify right side
    5,776.84x = 24,774,226.26
  5. Step 5: Solve for x
    x = 24,774,226.26/5,776.84
  6. Step 6: Final answer
    x = 4,288.54

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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.