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Finding the Fourth Proportional to 6,155.34, 8,495.73 and 3,765.84

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Solution

The fourth proportional to 6,155.34, 8,495.73 and 3,765.84 is: 5,197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.34 : 8,495.73 = 3,765.84 : x
  2. Step 2: Convert to fraction form
    6,155.34/8,495.73 = 3,765.84/x
  3. Step 3: Cross multiply
    6,155.34x = 8,495.73 × 3,765.84
  4. Step 4: Simplify right side
    6,155.34x = 31,993,559.86
  5. Step 5: Solve for x
    x = 31,993,559.86/6,155.34
  6. Step 6: Final answer
    x = 5,197.69

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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.