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Finding the Fourth Proportional to 5,590.23, 7,706.38 and 3,906.40

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Solution

The fourth proportional to 5,590.23, 7,706.38 and 3,906.40 is: 5,385.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590.23 : 7,706.38 = 3,906.40 : x
  2. Step 2: Convert to fraction form
    5,590.23/7,706.38 = 3,906.40/x
  3. Step 3: Cross multiply
    5,590.23x = 7,706.38 × 3,906.40
  4. Step 4: Simplify right side
    5,590.23x = 30,104,231.86
  5. Step 5: Solve for x
    x = 30,104,231.86/5,590.23
  6. Step 6: Final answer
    x = 5,385.16

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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.