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Finding the Fourth Proportional to 3,908.85, 5,862.76 and 986.97

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Solution

The fourth proportional to 3,908.85, 5,862.76 and 986.97 is: 1,480.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.85 : 5,862.76 = 986.97 : x
  2. Step 2: Convert to fraction form
    3,908.85/5,862.76 = 986.97/x
  3. Step 3: Cross multiply
    3,908.85x = 5,862.76 × 986.97
  4. Step 4: Simplify right side
    3,908.85x = 5,786,368.24
  5. Step 5: Solve for x
    x = 5,786,368.24/3,908.85
  6. Step 6: Final answer
    x = 1,480.32

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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.