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Finding the Fourth Proportional to 6,394.28, 8,821.51 and 4,622.00

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Solution

The fourth proportional to 6,394.28, 8,821.51 and 4,622.00 is: 6,376.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.28 : 8,821.51 = 4,622.00 : x
  2. Step 2: Convert to fraction form
    6,394.28/8,821.51 = 4,622.00/x
  3. Step 3: Cross multiply
    6,394.28x = 8,821.51 × 4,622.00
  4. Step 4: Simplify right side
    6,394.28x = 40,772,963.56
  5. Step 5: Solve for x
    x = 40,772,963.56/6,394.28
  6. Step 6: Final answer
    x = 6,376.48

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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.