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Finding the Fourth Proportional to 3,662.84, 5,495.58 and 2,202.98

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Solution

The fourth proportional to 3,662.84, 5,495.58 and 2,202.98 is: 3,305.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.84 : 5,495.58 = 2,202.98 : x
  2. Step 2: Convert to fraction form
    3,662.84/5,495.58 = 2,202.98/x
  3. Step 3: Cross multiply
    3,662.84x = 5,495.58 × 2,202.98
  4. Step 4: Simplify right side
    3,662.84x = 12,106,652.83
  5. Step 5: Solve for x
    x = 12,106,652.83/3,662.84
  6. Step 6: Final answer
    x = 3,305.26

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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.