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Finding the Fourth Proportional to 3,674.12, 5,069.94 and 2,977.16

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Solution

The fourth proportional to 3,674.12, 5,069.94 and 2,977.16 is: 4,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.12 : 5,069.94 = 2,977.16 : x
  2. Step 2: Convert to fraction form
    3,674.12/5,069.94 = 2,977.16/x
  3. Step 3: Cross multiply
    3,674.12x = 5,069.94 × 2,977.16
  4. Step 4: Simplify right side
    3,674.12x = 15,094,022.57
  5. Step 5: Solve for x
    x = 15,094,022.57/3,674.12
  6. Step 6: Final answer
    x = 4,108.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.