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Finding the Fourth Proportional to 3,653.08, 5,480.12 and 1,187.10

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Solution

The fourth proportional to 3,653.08, 5,480.12 and 1,187.10 is: 1,780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.08 : 5,480.12 = 1,187.10 : x
  2. Step 2: Convert to fraction form
    3,653.08/5,480.12 = 1,187.10/x
  3. Step 3: Cross multiply
    3,653.08x = 5,480.12 × 1,187.10
  4. Step 4: Simplify right side
    3,653.08x = 6,505,450.45
  5. Step 5: Solve for x
    x = 6,505,450.45/3,653.08
  6. Step 6: Final answer
    x = 1,780.81

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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.