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Finding the Fourth Proportional to 3,970.07, 5,950.25 and 1,369.97

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Solution

The fourth proportional to 3,970.07, 5,950.25 and 1,369.97 is: 2,053.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.07 : 5,950.25 = 1,369.97 : x
  2. Step 2: Convert to fraction form
    3,970.07/5,950.25 = 1,369.97/x
  3. Step 3: Cross multiply
    3,970.07x = 5,950.25 × 1,369.97
  4. Step 4: Simplify right side
    3,970.07x = 8,151,657.14
  5. Step 5: Solve for x
    x = 8,151,657.14/3,970.07
  6. Step 6: Final answer
    x = 2,053.28

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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.