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Finding the Fourth Proportional to 5,299.14, 7,940.07 and 2,698.50

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Solution

The fourth proportional to 5,299.14, 7,940.07 and 2,698.50 is: 4,043.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.14 : 7,940.07 = 2,698.50 : x
  2. Step 2: Convert to fraction form
    5,299.14/7,940.07 = 2,698.50/x
  3. Step 3: Cross multiply
    5,299.14x = 7,940.07 × 2,698.50
  4. Step 4: Simplify right side
    5,299.14x = 21,426,278.90
  5. Step 5: Solve for x
    x = 21,426,278.90/5,299.14
  6. Step 6: Final answer
    x = 4,043.35

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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.