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Finding the Fourth Proportional to 3,804.76, 5,708.22 and 1,339.66

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Solution

The fourth proportional to 3,804.76, 5,708.22 and 1,339.66 is: 2,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.76 : 5,708.22 = 1,339.66 : x
  2. Step 2: Convert to fraction form
    3,804.76/5,708.22 = 1,339.66/x
  3. Step 3: Cross multiply
    3,804.76x = 5,708.22 × 1,339.66
  4. Step 4: Simplify right side
    3,804.76x = 7,647,074.01
  5. Step 5: Solve for x
    x = 7,647,074.01/3,804.76
  6. Step 6: Final answer
    x = 2,009.87

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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.