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Finding the Fourth Proportional to 3,662.65, 5,054.43 and 1,984.02

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Solution

The fourth proportional to 3,662.65, 5,054.43 and 1,984.02 is: 2,737.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.65 : 5,054.43 = 1,984.02 : x
  2. Step 2: Convert to fraction form
    3,662.65/5,054.43 = 1,984.02/x
  3. Step 3: Cross multiply
    3,662.65x = 5,054.43 × 1,984.02
  4. Step 4: Simplify right side
    3,662.65x = 10,028,090.21
  5. Step 5: Solve for x
    x = 10,028,090.21/3,662.65
  6. Step 6: Final answer
    x = 2,737.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.