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Finding the Fourth Proportional to 3,907.44, 5,862.24 and 1,960.74

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Solution

The fourth proportional to 3,907.44, 5,862.24 and 1,960.74 is: 2,941.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.44 : 5,862.24 = 1,960.74 : x
  2. Step 2: Convert to fraction form
    3,907.44/5,862.24 = 1,960.74/x
  3. Step 3: Cross multiply
    3,907.44x = 5,862.24 × 1,960.74
  4. Step 4: Simplify right side
    3,907.44x = 11,494,328.46
  5. Step 5: Solve for x
    x = 11,494,328.46/3,907.44
  6. Step 6: Final answer
    x = 2,941.65

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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.