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Finding the Fourth Proportional to 3,406.65, 5,110.27 and 941.49

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Solution

The fourth proportional to 3,406.65, 5,110.27 and 941.49 is: 1,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.65 : 5,110.27 = 941.49 : x
  2. Step 2: Convert to fraction form
    3,406.65/5,110.27 = 941.49/x
  3. Step 3: Cross multiply
    3,406.65x = 5,110.27 × 941.49
  4. Step 4: Simplify right side
    3,406.65x = 4,811,268.10
  5. Step 5: Solve for x
    x = 4,811,268.10/3,406.65
  6. Step 6: Final answer
    x = 1,412.32

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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.