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Finding the Fourth Proportional to 4,651.34, 6,419.96 and 2,663.06

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Solution

The fourth proportional to 4,651.34, 6,419.96 and 2,663.06 is: 3,675.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.34 : 6,419.96 = 2,663.06 : x
  2. Step 2: Convert to fraction form
    4,651.34/6,419.96 = 2,663.06/x
  3. Step 3: Cross multiply
    4,651.34x = 6,419.96 × 2,663.06
  4. Step 4: Simplify right side
    4,651.34x = 17,096,738.68
  5. Step 5: Solve for x
    x = 17,096,738.68/4,651.34
  6. Step 6: Final answer
    x = 3,675.66

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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.