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Finding the Fourth Proportional to 6,155.76, 8,494.94 and 3,638.78

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Solution

The fourth proportional to 6,155.76, 8,494.94 and 3,638.78 is: 5,021.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.76 : 8,494.94 = 3,638.78 : x
  2. Step 2: Convert to fraction form
    6,155.76/8,494.94 = 3,638.78/x
  3. Step 3: Cross multiply
    6,155.76x = 8,494.94 × 3,638.78
  4. Step 4: Simplify right side
    6,155.76x = 30,911,157.10
  5. Step 5: Solve for x
    x = 30,911,157.10/6,155.76
  6. Step 6: Final answer
    x = 5,021.51

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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.