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Finding the Fourth Proportional to 4,076.07, 6,114.25 and 1,443.85

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Solution

The fourth proportional to 4,076.07, 6,114.25 and 1,443.85 is: 2,165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.07 : 6,114.25 = 1,443.85 : x
  2. Step 2: Convert to fraction form
    4,076.07/6,114.25 = 1,443.85/x
  3. Step 3: Cross multiply
    4,076.07x = 6,114.25 × 1,443.85
  4. Step 4: Simplify right side
    4,076.07x = 8,828,059.86
  5. Step 5: Solve for x
    x = 8,828,059.86/4,076.07
  6. Step 6: Final answer
    x = 2,165.83

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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.