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Finding the Fourth Proportional to 3,670.34, 5,505.84 and 1,205.16

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Solution

The fourth proportional to 3,670.34, 5,505.84 and 1,205.16 is: 1,807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.34 : 5,505.84 = 1,205.16 : x
  2. Step 2: Convert to fraction form
    3,670.34/5,505.84 = 1,205.16/x
  3. Step 3: Cross multiply
    3,670.34x = 5,505.84 × 1,205.16
  4. Step 4: Simplify right side
    3,670.34x = 6,635,418.13
  5. Step 5: Solve for x
    x = 6,635,418.13/3,670.34
  6. Step 6: Final answer
    x = 1,807.85

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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.