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Finding the Fourth Proportional to 3,665.70, 5,498.96 and 1,200.06

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Solution

The fourth proportional to 3,665.70, 5,498.96 and 1,200.06 is: 1,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.70 : 5,498.96 = 1,200.06 : x
  2. Step 2: Convert to fraction form
    3,665.70/5,498.96 = 1,200.06/x
  3. Step 3: Cross multiply
    3,665.70x = 5,498.96 × 1,200.06
  4. Step 4: Simplify right side
    3,665.70x = 6,599,075.94
  5. Step 5: Solve for x
    x = 6,599,075.94/3,665.70
  6. Step 6: Final answer
    x = 1,800.22

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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.