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Finding the Fourth Proportional to 4,809.62, 7,201.14 and 2,464.57

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Solution

The fourth proportional to 4,809.62, 7,201.14 and 2,464.57 is: 3,690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.62 : 7,201.14 = 2,464.57 : x
  2. Step 2: Convert to fraction form
    4,809.62/7,201.14 = 2,464.57/x
  3. Step 3: Cross multiply
    4,809.62x = 7,201.14 × 2,464.57
  4. Step 4: Simplify right side
    4,809.62x = 17,747,701.29
  5. Step 5: Solve for x
    x = 17,747,701.29/4,809.62
  6. Step 6: Final answer
    x = 3,690.05

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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.