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Finding the Fourth Proportional to 3,728.93, 5,146.03 and 2,050.50

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Solution

The fourth proportional to 3,728.93, 5,146.03 and 2,050.50 is: 2,829.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.93 : 5,146.03 = 2,050.50 : x
  2. Step 2: Convert to fraction form
    3,728.93/5,146.03 = 2,050.50/x
  3. Step 3: Cross multiply
    3,728.93x = 5,146.03 × 2,050.50
  4. Step 4: Simplify right side
    3,728.93x = 10,551,956.38
  5. Step 5: Solve for x
    x = 10,551,956.38/3,728.93
  6. Step 6: Final answer
    x = 2,829.76

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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.