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Finding the Fourth Proportional to 3,832.98, 5,749.74 and 1,368.06

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Solution

The fourth proportional to 3,832.98, 5,749.74 and 1,368.06 is: 2,052.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.98 : 5,749.74 = 1,368.06 : x
  2. Step 2: Convert to fraction form
    3,832.98/5,749.74 = 1,368.06/x
  3. Step 3: Cross multiply
    3,832.98x = 5,749.74 × 1,368.06
  4. Step 4: Simplify right side
    3,832.98x = 7,865,989.30
  5. Step 5: Solve for x
    x = 7,865,989.30/3,832.98
  6. Step 6: Final answer
    x = 2,052.19

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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.