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Finding the Fourth Proportional to 4,817.25, 7,226.25 and 1,529.64

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Solution

The fourth proportional to 4,817.25, 7,226.25 and 1,529.64 is: 2,294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.25 : 7,226.25 = 1,529.64 : x
  2. Step 2: Convert to fraction form
    4,817.25/7,226.25 = 1,529.64/x
  3. Step 3: Cross multiply
    4,817.25x = 7,226.25 × 1,529.64
  4. Step 4: Simplify right side
    4,817.25x = 11,053,561.05
  5. Step 5: Solve for x
    x = 11,053,561.05/4,817.25
  6. Step 6: Final answer
    x = 2,294.58

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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.