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Finding the Fourth Proportional to 3,961.01, 5,941.08 and 999.45

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Solution

The fourth proportional to 3,961.01, 5,941.08 and 999.45 is: 1,499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.01 : 5,941.08 = 999.45 : x
  2. Step 2: Convert to fraction form
    3,961.01/5,941.08 = 999.45/x
  3. Step 3: Cross multiply
    3,961.01x = 5,941.08 × 999.45
  4. Step 4: Simplify right side
    3,961.01x = 5,937,812.41
  5. Step 5: Solve for x
    x = 5,937,812.41/3,961.01
  6. Step 6: Final answer
    x = 1,499.06

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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.