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Finding the Fourth Proportional to 2,847.54, 4,239.41 and 2,833.84

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Solution

The fourth proportional to 2,847.54, 4,239.41 and 2,833.84 is: 4,219.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.54 : 4,239.41 = 2,833.84 : x
  2. Step 2: Convert to fraction form
    2,847.54/4,239.41 = 2,833.84/x
  3. Step 3: Cross multiply
    2,847.54x = 4,239.41 × 2,833.84
  4. Step 4: Simplify right side
    2,847.54x = 12,013,809.63
  5. Step 5: Solve for x
    x = 12,013,809.63/2,847.54
  6. Step 6: Final answer
    x = 4,219.01

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