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Finding the Fourth Proportional to 3,431.44, 5,139.98 and 2,845.06

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Solution

The fourth proportional to 3,431.44, 5,139.98 and 2,845.06 is: 4,261.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.44 : 5,139.98 = 2,845.06 : x
  2. Step 2: Convert to fraction form
    3,431.44/5,139.98 = 2,845.06/x
  3. Step 3: Cross multiply
    3,431.44x = 5,139.98 × 2,845.06
  4. Step 4: Simplify right side
    3,431.44x = 14,623,551.50
  5. Step 5: Solve for x
    x = 14,623,551.50/3,431.44
  6. Step 6: Final answer
    x = 4,261.64

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Why These Related Problems?

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