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Finding the Fourth Proportional to 3,798.06, 5,697.63 and 1,200.42

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Solution

The fourth proportional to 3,798.06, 5,697.63 and 1,200.42 is: 1,800.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.06 : 5,697.63 = 1,200.42 : x
  2. Step 2: Convert to fraction form
    3,798.06/5,697.63 = 1,200.42/x
  3. Step 3: Cross multiply
    3,798.06x = 5,697.63 × 1,200.42
  4. Step 4: Simplify right side
    3,798.06x = 6,839,549.00
  5. Step 5: Solve for x
    x = 6,839,549.00/3,798.06
  6. Step 6: Final answer
    x = 1,800.80

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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.