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Finding the Fourth Proportional to 4,900.27, 7,349.29 and 1,389.48

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Solution

The fourth proportional to 4,900.27, 7,349.29 and 1,389.48 is: 2,083.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.27 : 7,349.29 = 1,389.48 : x
  2. Step 2: Convert to fraction form
    4,900.27/7,349.29 = 1,389.48/x
  3. Step 3: Cross multiply
    4,900.27x = 7,349.29 × 1,389.48
  4. Step 4: Simplify right side
    4,900.27x = 10,211,691.47
  5. Step 5: Solve for x
    x = 10,211,691.47/4,900.27
  6. Step 6: Final answer
    x = 2,083.90

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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.