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Finding the Fourth Proportional to 4,222.73, 6,337.74 and 2,033.00

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Solution

The fourth proportional to 4,222.73, 6,337.74 and 2,033.00 is: 3,051.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.73 : 6,337.74 = 2,033.00 : x
  2. Step 2: Convert to fraction form
    4,222.73/6,337.74 = 2,033.00/x
  3. Step 3: Cross multiply
    4,222.73x = 6,337.74 × 2,033.00
  4. Step 4: Simplify right side
    4,222.73x = 12,884,625.12
  5. Step 5: Solve for x
    x = 12,884,625.12/4,222.73
  6. Step 6: Final answer
    x = 3,051.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.