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Finding the Fourth Proportional to 5,622.40, 8,426.40 and 2,694.40

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Solution

The fourth proportional to 5,622.40, 8,426.40 and 2,694.40 is: 4,038.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.40 : 8,426.40 = 2,694.40 : x
  2. Step 2: Convert to fraction form
    5,622.40/8,426.40 = 2,694.40/x
  3. Step 3: Cross multiply
    5,622.40x = 8,426.40 × 2,694.40
  4. Step 4: Simplify right side
    5,622.40x = 22,704,092.16
  5. Step 5: Solve for x
    x = 22,704,092.16/5,622.40
  6. Step 6: Final answer
    x = 4,038.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.