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Finding the Fourth Proportional to 4,900.96, 7,351.72 and 1,390.69

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Solution

The fourth proportional to 4,900.96, 7,351.72 and 1,390.69 is: 2,086.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.96 : 7,351.72 = 1,390.69 : x
  2. Step 2: Convert to fraction form
    4,900.96/7,351.72 = 1,390.69/x
  3. Step 3: Cross multiply
    4,900.96x = 7,351.72 × 1,390.69
  4. Step 4: Simplify right side
    4,900.96x = 10,223,974.41
  5. Step 5: Solve for x
    x = 10,223,974.41/4,900.96
  6. Step 6: Final answer
    x = 2,086.12

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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.