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Finding the Fourth Proportional to 4,805.63, 7,202.16 and 2,463.65

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Solution

The fourth proportional to 4,805.63, 7,202.16 and 2,463.65 is: 3,692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.63 : 7,202.16 = 2,463.65 : x
  2. Step 2: Convert to fraction form
    4,805.63/7,202.16 = 2,463.65/x
  3. Step 3: Cross multiply
    4,805.63x = 7,202.16 × 2,463.65
  4. Step 4: Simplify right side
    4,805.63x = 17,743,565.47
  5. Step 5: Solve for x
    x = 17,743,565.47/4,805.63
  6. Step 6: Final answer
    x = 3,692.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.