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Finding the Fourth Proportional to 4,636.28, 6,385.23 and 4,006.61

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Solution

The fourth proportional to 4,636.28, 6,385.23 and 4,006.61 is: 5,518.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.28 : 6,385.23 = 4,006.61 : x
  2. Step 2: Convert to fraction form
    4,636.28/6,385.23 = 4,006.61/x
  3. Step 3: Cross multiply
    4,636.28x = 6,385.23 × 4,006.61
  4. Step 4: Simplify right side
    4,636.28x = 25,583,094.44
  5. Step 5: Solve for x
    x = 25,583,094.44/4,636.28
  6. Step 6: Final answer
    x = 5,518.03

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