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Finding the Fourth Proportional to 4,155.63, 5,734.78 and 2,663.54

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Solution

The fourth proportional to 4,155.63, 5,734.78 and 2,663.54 is: 3,675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.63 : 5,734.78 = 2,663.54 : x
  2. Step 2: Convert to fraction form
    4,155.63/5,734.78 = 2,663.54/x
  3. Step 3: Cross multiply
    4,155.63x = 5,734.78 × 2,663.54
  4. Step 4: Simplify right side
    4,155.63x = 15,274,823.60
  5. Step 5: Solve for x
    x = 15,274,823.60/4,155.63
  6. Step 6: Final answer
    x = 3,675.69

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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.