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Finding the Fourth Proportional to 3,736.53, 5,604.66 and 1,978.83

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Solution

The fourth proportional to 3,736.53, 5,604.66 and 1,978.83 is: 2,968.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.53 : 5,604.66 = 1,978.83 : x
  2. Step 2: Convert to fraction form
    3,736.53/5,604.66 = 1,978.83/x
  3. Step 3: Cross multiply
    3,736.53x = 5,604.66 × 1,978.83
  4. Step 4: Simplify right side
    3,736.53x = 11,090,669.35
  5. Step 5: Solve for x
    x = 11,090,669.35/3,736.53
  6. Step 6: Final answer
    x = 2,968.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.