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Finding the Fourth Proportional to 3,406.41, 5,109.95 and 941.24

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Solution

The fourth proportional to 3,406.41, 5,109.95 and 941.24 is: 1,411.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.41 : 5,109.95 = 941.24 : x
  2. Step 2: Convert to fraction form
    3,406.41/5,109.95 = 941.24/x
  3. Step 3: Cross multiply
    3,406.41x = 5,109.95 × 941.24
  4. Step 4: Simplify right side
    3,406.41x = 4,809,704.47
  5. Step 5: Solve for x
    x = 4,809,704.47/3,406.41
  6. Step 6: Final answer
    x = 1,411.96

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1.5x scale

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.