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Finding the Fourth Proportional to 3,699.16, 5,548.85 and 1,200.45

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Solution

The fourth proportional to 3,699.16, 5,548.85 and 1,200.45 is: 1,800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.16 : 5,548.85 = 1,200.45 : x
  2. Step 2: Convert to fraction form
    3,699.16/5,548.85 = 1,200.45/x
  3. Step 3: Cross multiply
    3,699.16x = 5,548.85 × 1,200.45
  4. Step 4: Simplify right side
    3,699.16x = 6,661,116.98
  5. Step 5: Solve for x
    x = 6,661,116.98/3,699.16
  6. Step 6: Final answer
    x = 1,800.71

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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.