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Finding the Fourth Proportional to 3,804.07, 5,698.35 and 3,103.77

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Solution

The fourth proportional to 3,804.07, 5,698.35 and 3,103.77 is: 4,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.07 : 5,698.35 = 3,103.77 : x
  2. Step 2: Convert to fraction form
    3,804.07/5,698.35 = 3,103.77/x
  3. Step 3: Cross multiply
    3,804.07x = 5,698.35 × 3,103.77
  4. Step 4: Simplify right side
    3,804.07x = 17,686,367.78
  5. Step 5: Solve for x
    x = 17,686,367.78/3,804.07
  6. Step 6: Final answer
    x = 4,649.33

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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.