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Finding the Fourth Proportional to 4,155, 5,734.52 and 2,664.60

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Solution

The fourth proportional to 4,155, 5,734.52 and 2,664.60 is: 3,677.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155 : 5,734.52 = 2,664.60 : x
  2. Step 2: Convert to fraction form
    4,155/5,734.52 = 2,664.60/x
  3. Step 3: Cross multiply
    4,155x = 5,734.52 × 2,664.60
  4. Step 4: Simplify right side
    4,155x = 15,280,201.99
  5. Step 5: Solve for x
    x = 15,280,201.99/4,155
  6. Step 6: Final answer
    x = 3,677.55

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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.