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Finding the Fourth Proportional to 4,215.72, 5,817.06 and 2,643.24

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Solution

The fourth proportional to 4,215.72, 5,817.06 and 2,643.24 is: 3,647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.72 : 5,817.06 = 2,643.24 : x
  2. Step 2: Convert to fraction form
    4,215.72/5,817.06 = 2,643.24/x
  3. Step 3: Cross multiply
    4,215.72x = 5,817.06 × 2,643.24
  4. Step 4: Simplify right side
    4,215.72x = 15,375,885.67
  5. Step 5: Solve for x
    x = 15,375,885.67/4,215.72
  6. Step 6: Final answer
    x = 3,647.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.