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Finding the Fourth Proportional to 6,578.68, 9,077.70 and 3,783.64

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Solution

The fourth proportional to 6,578.68, 9,077.70 and 3,783.64 is: 5,220.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.68 : 9,077.70 = 3,783.64 : x
  2. Step 2: Convert to fraction form
    6,578.68/9,077.70 = 3,783.64/x
  3. Step 3: Cross multiply
    6,578.68x = 9,077.70 × 3,783.64
  4. Step 4: Simplify right side
    6,578.68x = 34,346,748.83
  5. Step 5: Solve for x
    x = 34,346,748.83/6,578.68
  6. Step 6: Final answer
    x = 5,220.92

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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.