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Finding the Fourth Proportional to 4,165.36, 6,221 and 3,774.60

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Solution

The fourth proportional to 4,165.36, 6,221 and 3,774.60 is: 5,637.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.36 : 6,221 = 3,774.60 : x
  2. Step 2: Convert to fraction form
    4,165.36/6,221 = 3,774.60/x
  3. Step 3: Cross multiply
    4,165.36x = 6,221 × 3,774.60
  4. Step 4: Simplify right side
    4,165.36x = 23,481,786.60
  5. Step 5: Solve for x
    x = 23,481,786.60/4,165.36
  6. Step 6: Final answer
    x = 5,637.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.