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Finding the Fourth Proportional to 6,561.85, 9,057.08 and 3,730.89

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Solution

The fourth proportional to 6,561.85, 9,057.08 and 3,730.89 is: 5,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.85 : 9,057.08 = 3,730.89 : x
  2. Step 2: Convert to fraction form
    6,561.85/9,057.08 = 3,730.89/x
  3. Step 3: Cross multiply
    6,561.85x = 9,057.08 × 3,730.89
  4. Step 4: Simplify right side
    6,561.85x = 33,790,943.94
  5. Step 5: Solve for x
    x = 33,790,943.94/6,561.85
  6. Step 6: Final answer
    x = 5,149.60

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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.