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Finding the Fourth Proportional to 4,900.56, 7,350.96 and 1,438.08

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Solution

The fourth proportional to 4,900.56, 7,350.96 and 1,438.08 is: 2,157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.56 : 7,350.96 = 1,438.08 : x
  2. Step 2: Convert to fraction form
    4,900.56/7,350.96 = 1,438.08/x
  3. Step 3: Cross multiply
    4,900.56x = 7,350.96 × 1,438.08
  4. Step 4: Simplify right side
    4,900.56x = 10,571,268.56
  5. Step 5: Solve for x
    x = 10,571,268.56/4,900.56
  6. Step 6: Final answer
    x = 2,157.16

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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.