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Finding the Fourth Proportional to 3,869.50, 5,804.24 and 1,404.31

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Solution

The fourth proportional to 3,869.50, 5,804.24 and 1,404.31 is: 2,106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.50 : 5,804.24 = 1,404.31 : x
  2. Step 2: Convert to fraction form
    3,869.50/5,804.24 = 1,404.31/x
  3. Step 3: Cross multiply
    3,869.50x = 5,804.24 × 1,404.31
  4. Step 4: Simplify right side
    3,869.50x = 8,150,945.25
  5. Step 5: Solve for x
    x = 8,150,945.25/3,869.50
  6. Step 6: Final answer
    x = 2,106.46

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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.