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Finding the Fourth Proportional to 4,709.94, 7,069.50 and 2,246.46

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Solution

The fourth proportional to 4,709.94, 7,069.50 and 2,246.46 is: 3,371.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.94 : 7,069.50 = 2,246.46 : x
  2. Step 2: Convert to fraction form
    4,709.94/7,069.50 = 2,246.46/x
  3. Step 3: Cross multiply
    4,709.94x = 7,069.50 × 2,246.46
  4. Step 4: Simplify right side
    4,709.94x = 15,881,348.97
  5. Step 5: Solve for x
    x = 15,881,348.97/4,709.94
  6. Step 6: Final answer
    x = 3,371.88

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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.