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Finding the Fourth Proportional to 5,776.85, 8,668.59 and 5,729.87

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Solution

The fourth proportional to 5,776.85, 8,668.59 and 5,729.87 is: 8,598.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.85 : 8,668.59 = 5,729.87 : x
  2. Step 2: Convert to fraction form
    5,776.85/8,668.59 = 5,729.87/x
  3. Step 3: Cross multiply
    5,776.85x = 8,668.59 × 5,729.87
  4. Step 4: Simplify right side
    5,776.85x = 49,669,893.97
  5. Step 5: Solve for x
    x = 49,669,893.97/5,776.85
  6. Step 6: Final answer
    x = 8,598.09

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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.