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Finding the Fourth Proportional to 3,005.84, 4,147.35 and 1,826.84

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Solution

The fourth proportional to 3,005.84, 4,147.35 and 1,826.84 is: 2,520.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.84 : 4,147.35 = 1,826.84 : x
  2. Step 2: Convert to fraction form
    3,005.84/4,147.35 = 1,826.84/x
  3. Step 3: Cross multiply
    3,005.84x = 4,147.35 × 1,826.84
  4. Step 4: Simplify right side
    3,005.84x = 7,576,544.87
  5. Step 5: Solve for x
    x = 7,576,544.87/3,005.84
  6. Step 6: Final answer
    x = 2,520.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.