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Finding the Fourth Proportional to 4,056.89, 6,049.73 and 4,019.94

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Solution

The fourth proportional to 4,056.89, 6,049.73 and 4,019.94 is: 5,994.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,056.89 : 6,049.73 = 4,019.94 : x
  2. Step 2: Convert to fraction form
    4,056.89/6,049.73 = 4,019.94/x
  3. Step 3: Cross multiply
    4,056.89x = 6,049.73 × 4,019.94
  4. Step 4: Simplify right side
    4,056.89x = 24,319,561.67
  5. Step 5: Solve for x
    x = 24,319,561.67/4,056.89
  6. Step 6: Final answer
    x = 5,994.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.