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Finding the Fourth Proportional to 4,805.16, 7,208.16 and 1,517.38

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Solution

The fourth proportional to 4,805.16, 7,208.16 and 1,517.38 is: 2,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.16 : 7,208.16 = 1,517.38 : x
  2. Step 2: Convert to fraction form
    4,805.16/7,208.16 = 1,517.38/x
  3. Step 3: Cross multiply
    4,805.16x = 7,208.16 × 1,517.38
  4. Step 4: Simplify right side
    4,805.16x = 10,937,517.82
  5. Step 5: Solve for x
    x = 10,937,517.82/4,805.16
  6. Step 6: Final answer
    x = 2,276.20

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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.