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Finding the Fourth Proportional to 3,800.20, 5,698.59 and 1,607.80

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Solution

The fourth proportional to 3,800.20, 5,698.59 and 1,607.80 is: 2,410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.20 : 5,698.59 = 1,607.80 : x
  2. Step 2: Convert to fraction form
    3,800.20/5,698.59 = 1,607.80/x
  3. Step 3: Cross multiply
    3,800.20x = 5,698.59 × 1,607.80
  4. Step 4: Simplify right side
    3,800.20x = 9,162,193.00
  5. Step 5: Solve for x
    x = 9,162,193.00/3,800.20
  6. Step 6: Final answer
    x = 2,410.98

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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.