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Finding the Fourth Proportional to 3,977.45, 5,965.70 and 1,055.98

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Solution

The fourth proportional to 3,977.45, 5,965.70 and 1,055.98 is: 1,583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.45 : 5,965.70 = 1,055.98 : x
  2. Step 2: Convert to fraction form
    3,977.45/5,965.70 = 1,055.98/x
  3. Step 3: Cross multiply
    3,977.45x = 5,965.70 × 1,055.98
  4. Step 4: Simplify right side
    3,977.45x = 6,299,630.06
  5. Step 5: Solve for x
    x = 6,299,630.06/3,977.45
  6. Step 6: Final answer
    x = 1,583.84

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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.