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Finding the Fourth Proportional to 3,804.06, 5,704.62 and 1,829.13

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Solution

The fourth proportional to 3,804.06, 5,704.62 and 1,829.13 is: 2,742.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.06 : 5,704.62 = 1,829.13 : x
  2. Step 2: Convert to fraction form
    3,804.06/5,704.62 = 1,829.13/x
  3. Step 3: Cross multiply
    3,804.06x = 5,704.62 × 1,829.13
  4. Step 4: Simplify right side
    3,804.06x = 10,434,491.58
  5. Step 5: Solve for x
    x = 10,434,491.58/3,804.06
  6. Step 6: Final answer
    x = 2,742.99

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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.