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Finding the Fourth Proportional to 4,900.16, 7,350.24 and 4,589.12

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Solution

The fourth proportional to 4,900.16, 7,350.24 and 4,589.12 is: 6,883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.16 : 7,350.24 = 4,589.12 : x
  2. Step 2: Convert to fraction form
    4,900.16/7,350.24 = 4,589.12/x
  3. Step 3: Cross multiply
    4,900.16x = 7,350.24 × 4,589.12
  4. Step 4: Simplify right side
    4,900.16x = 33,731,133.39
  5. Step 5: Solve for x
    x = 33,731,133.39/4,900.16
  6. Step 6: Final answer
    x = 6,883.68

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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.