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Finding the Fourth Proportional to 4,517, 6,776.86 and 1,920.14

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Solution

The fourth proportional to 4,517, 6,776.86 and 1,920.14 is: 2,880.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517 : 6,776.86 = 1,920.14 : x
  2. Step 2: Convert to fraction form
    4,517/6,776.86 = 1,920.14/x
  3. Step 3: Cross multiply
    4,517x = 6,776.86 × 1,920.14
  4. Step 4: Simplify right side
    4,517x = 13,012,519.96
  5. Step 5: Solve for x
    x = 13,012,519.96/4,517
  6. Step 6: Final answer
    x = 2,880.79

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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.