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Finding the Fourth Proportional to 3,767.83, 5,647.21 and 1,394.01

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Solution

The fourth proportional to 3,767.83, 5,647.21 and 1,394.01 is: 2,089.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.83 : 5,647.21 = 1,394.01 : x
  2. Step 2: Convert to fraction form
    3,767.83/5,647.21 = 1,394.01/x
  3. Step 3: Cross multiply
    3,767.83x = 5,647.21 × 1,394.01
  4. Step 4: Simplify right side
    3,767.83x = 7,872,284.08
  5. Step 5: Solve for x
    x = 7,872,284.08/3,767.83
  6. Step 6: Final answer
    x = 2,089.34

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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.