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Finding the Fourth Proportional to 4,102.38, 6,152.22 and 1,636.56

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Solution

The fourth proportional to 4,102.38, 6,152.22 and 1,636.56 is: 2,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.38 : 6,152.22 = 1,636.56 : x
  2. Step 2: Convert to fraction form
    4,102.38/6,152.22 = 1,636.56/x
  3. Step 3: Cross multiply
    4,102.38x = 6,152.22 × 1,636.56
  4. Step 4: Simplify right side
    4,102.38x = 10,068,477.16
  5. Step 5: Solve for x
    x = 10,068,477.16/4,102.38
  6. Step 6: Final answer
    x = 2,454.30

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