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Finding the Fourth Proportional to 4,000.10, 5,999.19 and 2,051.30

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Solution

The fourth proportional to 4,000.10, 5,999.19 and 2,051.30 is: 3,076.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.10 : 5,999.19 = 2,051.30 : x
  2. Step 2: Convert to fraction form
    4,000.10/5,999.19 = 2,051.30/x
  3. Step 3: Cross multiply
    4,000.10x = 5,999.19 × 2,051.30
  4. Step 4: Simplify right side
    4,000.10x = 12,306,138.45
  5. Step 5: Solve for x
    x = 12,306,138.45/4,000.10
  6. Step 6: Final answer
    x = 3,076.46

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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.