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Finding the Fourth Proportional to 4,273.64, 6,411.10 and 2,906.60

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Solution

The fourth proportional to 4,273.64, 6,411.10 and 2,906.60 is: 4,360.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273.64 : 6,411.10 = 2,906.60 : x
  2. Step 2: Convert to fraction form
    4,273.64/6,411.10 = 2,906.60/x
  3. Step 3: Cross multiply
    4,273.64x = 6,411.10 × 2,906.60
  4. Step 4: Simplify right side
    4,273.64x = 18,634,503.26
  5. Step 5: Solve for x
    x = 18,634,503.26/4,273.64
  6. Step 6: Final answer
    x = 4,360.34

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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.