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Finding the Fourth Proportional to 4,940.19, 6,819 and 3,448.62

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Solution

The fourth proportional to 4,940.19, 6,819 and 3,448.62 is: 4,760.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.19 : 6,819 = 3,448.62 : x
  2. Step 2: Convert to fraction form
    4,940.19/6,819 = 3,448.62/x
  3. Step 3: Cross multiply
    4,940.19x = 6,819 × 3,448.62
  4. Step 4: Simplify right side
    4,940.19x = 23,516,139.78
  5. Step 5: Solve for x
    x = 23,516,139.78/4,940.19
  6. Step 6: Final answer
    x = 4,760.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.