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Finding the Fourth Proportional to 4,365.96, 6,029.78 and 3,803.80

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Solution

The fourth proportional to 4,365.96, 6,029.78 and 3,803.80 is: 5,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365.96 : 6,029.78 = 3,803.80 : x
  2. Step 2: Convert to fraction form
    4,365.96/6,029.78 = 3,803.80/x
  3. Step 3: Cross multiply
    4,365.96x = 6,029.78 × 3,803.80
  4. Step 4: Simplify right side
    4,365.96x = 22,936,077.16
  5. Step 5: Solve for x
    x = 22,936,077.16/4,365.96
  6. Step 6: Final answer
    x = 5,253.39

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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.