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Finding the Fourth Proportional to 5,684.85, 7,839.90 and 4,110.21

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Solution

The fourth proportional to 5,684.85, 7,839.90 and 4,110.21 is: 5,668.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.85 : 7,839.90 = 4,110.21 : x
  2. Step 2: Convert to fraction form
    5,684.85/7,839.90 = 4,110.21/x
  3. Step 3: Cross multiply
    5,684.85x = 7,839.90 × 4,110.21
  4. Step 4: Simplify right side
    5,684.85x = 32,223,635.38
  5. Step 5: Solve for x
    x = 32,223,635.38/5,684.85
  6. Step 6: Final answer
    x = 5,668.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.