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Finding the Fourth Proportional to 3,662.46, 5,495.85 and 1,355.58

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Solution

The fourth proportional to 3,662.46, 5,495.85 and 1,355.58 is: 2,034.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.46 : 5,495.85 = 1,355.58 : x
  2. Step 2: Convert to fraction form
    3,662.46/5,495.85 = 1,355.58/x
  3. Step 3: Cross multiply
    3,662.46x = 5,495.85 × 1,355.58
  4. Step 4: Simplify right side
    3,662.46x = 7,450,064.34
  5. Step 5: Solve for x
    x = 7,450,064.34/3,662.46
  6. Step 6: Final answer
    x = 2,034.17

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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.