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Finding the Fourth Proportional to 3,938.25, 5,907.39 and 1,202.25

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Solution

The fourth proportional to 3,938.25, 5,907.39 and 1,202.25 is: 1,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.25 : 5,907.39 = 1,202.25 : x
  2. Step 2: Convert to fraction form
    3,938.25/5,907.39 = 1,202.25/x
  3. Step 3: Cross multiply
    3,938.25x = 5,907.39 × 1,202.25
  4. Step 4: Simplify right side
    3,938.25x = 7,102,159.63
  5. Step 5: Solve for x
    x = 7,102,159.63/3,938.25
  6. Step 6: Final answer
    x = 1,803.38

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