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Finding the Fourth Proportional to 3,564.94, 4,919.70 and 2,238.70

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Solution

The fourth proportional to 3,564.94, 4,919.70 and 2,238.70 is: 3,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.94 : 4,919.70 = 2,238.70 : x
  2. Step 2: Convert to fraction form
    3,564.94/4,919.70 = 2,238.70/x
  3. Step 3: Cross multiply
    3,564.94x = 4,919.70 × 2,238.70
  4. Step 4: Simplify right side
    3,564.94x = 11,013,732.39
  5. Step 5: Solve for x
    x = 11,013,732.39/3,564.94
  6. Step 6: Final answer
    x = 3,089.46

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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.