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Finding the Fourth Proportional to 3,427.70, 5,153.70 and 2,893.10

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Solution

The fourth proportional to 3,427.70, 5,153.70 and 2,893.10 is: 4,349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.70 : 5,153.70 = 2,893.10 : x
  2. Step 2: Convert to fraction form
    3,427.70/5,153.70 = 2,893.10/x
  3. Step 3: Cross multiply
    3,427.70x = 5,153.70 × 2,893.10
  4. Step 4: Simplify right side
    3,427.70x = 14,910,169.47
  5. Step 5: Solve for x
    x = 14,910,169.47/3,427.70
  6. Step 6: Final answer
    x = 4,349.91

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1.5x scale

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.