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Finding the Fourth Proportional to 3,978.77, 5,966.69 and 1,204.62

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Solution

The fourth proportional to 3,978.77, 5,966.69 and 1,204.62 is: 1,806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.77 : 5,966.69 = 1,204.62 : x
  2. Step 2: Convert to fraction form
    3,978.77/5,966.69 = 1,204.62/x
  3. Step 3: Cross multiply
    3,978.77x = 5,966.69 × 1,204.62
  4. Step 4: Simplify right side
    3,978.77x = 7,187,588.08
  5. Step 5: Solve for x
    x = 7,187,588.08/3,978.77
  6. Step 6: Final answer
    x = 1,806.49

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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.