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Finding the Fourth Proportional to 3,633.14, 5,013.72 and 1,977.14

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Solution

The fourth proportional to 3,633.14, 5,013.72 and 1,977.14 is: 2,728.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.14 : 5,013.72 = 1,977.14 : x
  2. Step 2: Convert to fraction form
    3,633.14/5,013.72 = 1,977.14/x
  3. Step 3: Cross multiply
    3,633.14x = 5,013.72 × 1,977.14
  4. Step 4: Simplify right side
    3,633.14x = 9,912,826.36
  5. Step 5: Solve for x
    x = 9,912,826.36/3,633.14
  6. Step 6: Final answer
    x = 2,728.45

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1.5x scale

Why These Related Problems?

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