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Finding the Fourth Proportional to 3,975.48, 5,961.40 and 1,202.45

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Solution

The fourth proportional to 3,975.48, 5,961.40 and 1,202.45 is: 1,803.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.48 : 5,961.40 = 1,202.45 : x
  2. Step 2: Convert to fraction form
    3,975.48/5,961.40 = 1,202.45/x
  3. Step 3: Cross multiply
    3,975.48x = 5,961.40 × 1,202.45
  4. Step 4: Simplify right side
    3,975.48x = 7,168,252.62
  5. Step 5: Solve for x
    x = 7,168,252.62/3,975.48
  6. Step 6: Final answer
    x = 1,803.12

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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.