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Finding the Fourth Proportional to 4,333.85, 6,496.44 and 2,144.17

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Solution

The fourth proportional to 4,333.85, 6,496.44 and 2,144.17 is: 3,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.85 : 6,496.44 = 2,144.17 : x
  2. Step 2: Convert to fraction form
    4,333.85/6,496.44 = 2,144.17/x
  3. Step 3: Cross multiply
    4,333.85x = 6,496.44 × 2,144.17
  4. Step 4: Simplify right side
    4,333.85x = 13,929,461.03
  5. Step 5: Solve for x
    x = 13,929,461.03/4,333.85
  6. Step 6: Final answer
    x = 3,214.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.