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Finding the Fourth Proportional to 4,431.68, 6,116.10 and 2,663

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Solution

The fourth proportional to 4,431.68, 6,116.10 and 2,663 is: 3,675.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,431.68 : 6,116.10 = 2,663 : x
  2. Step 2: Convert to fraction form
    4,431.68/6,116.10 = 2,663/x
  3. Step 3: Cross multiply
    4,431.68x = 6,116.10 × 2,663
  4. Step 4: Simplify right side
    4,431.68x = 16,287,174.30
  5. Step 5: Solve for x
    x = 16,287,174.30/4,431.68
  6. Step 6: Final answer
    x = 3,675.17

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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.