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Finding the Fourth Proportional to 3,862.72, 5,794.06 and 941.01

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Solution

The fourth proportional to 3,862.72, 5,794.06 and 941.01 is: 1,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.72 : 5,794.06 = 941.01 : x
  2. Step 2: Convert to fraction form
    3,862.72/5,794.06 = 941.01/x
  3. Step 3: Cross multiply
    3,862.72x = 5,794.06 × 941.01
  4. Step 4: Simplify right side
    3,862.72x = 5,452,268.40
  5. Step 5: Solve for x
    x = 5,452,268.40/3,862.72
  6. Step 6: Final answer
    x = 1,411.51

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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.