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Finding the Fourth Proportional to 3,316.24, 4,974 and 1,755.64

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Solution

The fourth proportional to 3,316.24, 4,974 and 1,755.64 is: 2,633.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.24 : 4,974 = 1,755.64 : x
  2. Step 2: Convert to fraction form
    3,316.24/4,974 = 1,755.64/x
  3. Step 3: Cross multiply
    3,316.24x = 4,974 × 1,755.64
  4. Step 4: Simplify right side
    3,316.24x = 8,732,553.36
  5. Step 5: Solve for x
    x = 8,732,553.36/3,316.24
  6. Step 6: Final answer
    x = 2,633.27

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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.