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Finding the Fourth Proportional to 3,869.33, 5,804.86 and 1,404.14

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Solution

The fourth proportional to 3,869.33, 5,804.86 and 1,404.14 is: 2,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.33 : 5,804.86 = 1,404.14 : x
  2. Step 2: Convert to fraction form
    3,869.33/5,804.86 = 1,404.14/x
  3. Step 3: Cross multiply
    3,869.33x = 5,804.86 × 1,404.14
  4. Step 4: Simplify right side
    3,869.33x = 8,150,825.35
  5. Step 5: Solve for x
    x = 8,150,825.35/3,869.33
  6. Step 6: Final answer
    x = 2,106.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.