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Finding the Fourth Proportional to 4,809.57, 7,214.35 and 1,522.94

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Solution

The fourth proportional to 4,809.57, 7,214.35 and 1,522.94 is: 2,284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.57 : 7,214.35 = 1,522.94 : x
  2. Step 2: Convert to fraction form
    4,809.57/7,214.35 = 1,522.94/x
  3. Step 3: Cross multiply
    4,809.57x = 7,214.35 × 1,522.94
  4. Step 4: Simplify right side
    4,809.57x = 10,987,022.19
  5. Step 5: Solve for x
    x = 10,987,022.19/4,809.57
  6. Step 6: Final answer
    x = 2,284.41

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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.