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Finding the Fourth Proportional to 5,796, 8,001.96 and 3,810

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Solution

The fourth proportional to 5,796, 8,001.96 and 3,810 is: 5,260.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796 : 8,001.96 = 3,810 : x
  2. Step 2: Convert to fraction form
    5,796/8,001.96 = 3,810/x
  3. Step 3: Cross multiply
    5,796x = 8,001.96 × 3,810
  4. Step 4: Simplify right side
    5,796x = 30,487,467.60
  5. Step 5: Solve for x
    x = 30,487,467.60/5,796
  6. Step 6: Final answer
    x = 5,260.09

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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.