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Finding the Fourth Proportional to 6,089.06, 8,399.80 and 3,698.39

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Solution

The fourth proportional to 6,089.06, 8,399.80 and 3,698.39 is: 5,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.06 : 8,399.80 = 3,698.39 : x
  2. Step 2: Convert to fraction form
    6,089.06/8,399.80 = 3,698.39/x
  3. Step 3: Cross multiply
    6,089.06x = 8,399.80 × 3,698.39
  4. Step 4: Simplify right side
    6,089.06x = 31,065,742.20
  5. Step 5: Solve for x
    x = 31,065,742.20/6,089.06
  6. Step 6: Final answer
    x = 5,101.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.