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Finding the Fourth Proportional to 4,930.64, 7,396 and 1,553.44

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Solution

The fourth proportional to 4,930.64, 7,396 and 1,553.44 is: 2,330.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.64 : 7,396 = 1,553.44 : x
  2. Step 2: Convert to fraction form
    4,930.64/7,396 = 1,553.44/x
  3. Step 3: Cross multiply
    4,930.64x = 7,396 × 1,553.44
  4. Step 4: Simplify right side
    4,930.64x = 11,489,242.24
  5. Step 5: Solve for x
    x = 11,489,242.24/4,930.64
  6. Step 6: Final answer
    x = 2,330.17

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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.