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Finding the Fourth Proportional to 3,137.30, 4,692.99 and 2,852.18

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Solution

The fourth proportional to 3,137.30, 4,692.99 and 2,852.18 is: 4,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.30 : 4,692.99 = 2,852.18 : x
  2. Step 2: Convert to fraction form
    3,137.30/4,692.99 = 2,852.18/x
  3. Step 3: Cross multiply
    3,137.30x = 4,692.99 × 2,852.18
  4. Step 4: Simplify right side
    3,137.30x = 13,385,252.22
  5. Step 5: Solve for x
    x = 13,385,252.22/3,137.30
  6. Step 6: Final answer
    x = 4,266.49

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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.