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Finding the Fourth Proportional to 3,906.19, 5,849.90 and 2,235.25

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Solution

The fourth proportional to 3,906.19, 5,849.90 and 2,235.25 is: 3,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.19 : 5,849.90 = 2,235.25 : x
  2. Step 2: Convert to fraction form
    3,906.19/5,849.90 = 2,235.25/x
  3. Step 3: Cross multiply
    3,906.19x = 5,849.90 × 2,235.25
  4. Step 4: Simplify right side
    3,906.19x = 13,075,988.98
  5. Step 5: Solve for x
    x = 13,075,988.98/3,906.19
  6. Step 6: Final answer
    x = 3,347.50

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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.