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Finding the Fourth Proportional to 3,893.15, 5,844.35 and 3,072.01

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Solution

The fourth proportional to 3,893.15, 5,844.35 and 3,072.01 is: 4,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.15 : 5,844.35 = 3,072.01 : x
  2. Step 2: Convert to fraction form
    3,893.15/5,844.35 = 3,072.01/x
  3. Step 3: Cross multiply
    3,893.15x = 5,844.35 × 3,072.01
  4. Step 4: Simplify right side
    3,893.15x = 17,953,901.64
  5. Step 5: Solve for x
    x = 17,953,901.64/3,893.15
  6. Step 6: Final answer
    x = 4,611.66

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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.