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Finding the Fourth Proportional to 3,895.44, 5,841.27 and 1,297.50

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Solution

The fourth proportional to 3,895.44, 5,841.27 and 1,297.50 is: 1,945.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.44 : 5,841.27 = 1,297.50 : x
  2. Step 2: Convert to fraction form
    3,895.44/5,841.27 = 1,297.50/x
  3. Step 3: Cross multiply
    3,895.44x = 5,841.27 × 1,297.50
  4. Step 4: Simplify right side
    3,895.44x = 7,579,047.83
  5. Step 5: Solve for x
    x = 7,579,047.83/3,895.44
  6. Step 6: Final answer
    x = 1,945.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.