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Finding the Fourth Proportional to 6,578, 9,078 and 3,783.68

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Solution

The fourth proportional to 6,578, 9,078 and 3,783.68 is: 5,221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578 : 9,078 = 3,783.68 : x
  2. Step 2: Convert to fraction form
    6,578/9,078 = 3,783.68/x
  3. Step 3: Cross multiply
    6,578x = 9,078 × 3,783.68
  4. Step 4: Simplify right side
    6,578x = 34,348,247.04
  5. Step 5: Solve for x
    x = 34,348,247.04/6,578
  6. Step 6: Final answer
    x = 5,221.69

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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.