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Finding the Fourth Proportional to 3,977.63, 5,966.55 and 1,055.94

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Solution

The fourth proportional to 3,977.63, 5,966.55 and 1,055.94 is: 1,583.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.63 : 5,966.55 = 1,055.94 : x
  2. Step 2: Convert to fraction form
    3,977.63/5,966.55 = 1,055.94/x
  3. Step 3: Cross multiply
    3,977.63x = 5,966.55 × 1,055.94
  4. Step 4: Simplify right side
    3,977.63x = 6,300,318.81
  5. Step 5: Solve for x
    x = 6,300,318.81/3,977.63
  6. Step 6: Final answer
    x = 1,583.94

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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.