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Finding the Fourth Proportional to 6,414.50, 8,852.28 and 3,620

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Solution

The fourth proportional to 6,414.50, 8,852.28 and 3,620 is: 4,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.50 : 8,852.28 = 3,620 : x
  2. Step 2: Convert to fraction form
    6,414.50/8,852.28 = 3,620/x
  3. Step 3: Cross multiply
    6,414.50x = 8,852.28 × 3,620
  4. Step 4: Simplify right side
    6,414.50x = 32,045,253.60
  5. Step 5: Solve for x
    x = 32,045,253.60/6,414.50
  6. Step 6: Final answer
    x = 4,995.75

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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.