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Finding the Fourth Proportional to 3,977.04, 5,965.14 and 1,055.64

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Solution

The fourth proportional to 3,977.04, 5,965.14 and 1,055.64 is: 1,583.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.04 : 5,965.14 = 1,055.64 : x
  2. Step 2: Convert to fraction form
    3,977.04/5,965.14 = 1,055.64/x
  3. Step 3: Cross multiply
    3,977.04x = 5,965.14 × 1,055.64
  4. Step 4: Simplify right side
    3,977.04x = 6,297,040.39
  5. Step 5: Solve for x
    x = 6,297,040.39/3,977.04
  6. Step 6: Final answer
    x = 1,583.35

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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.