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Finding the Fourth Proportional to 4,000.49, 5,999.65 and 2,053.25

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Solution

The fourth proportional to 4,000.49, 5,999.65 and 2,053.25 is: 3,079.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.49 : 5,999.65 = 2,053.25 : x
  2. Step 2: Convert to fraction form
    4,000.49/5,999.65 = 2,053.25/x
  3. Step 3: Cross multiply
    4,000.49x = 5,999.65 × 2,053.25
  4. Step 4: Simplify right side
    4,000.49x = 12,318,781.36
  5. Step 5: Solve for x
    x = 12,318,781.36/4,000.49
  6. Step 6: Final answer
    x = 3,079.32

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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.