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Finding the Fourth Proportional to 3,275.56, 4,913.34 and 810.37

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Solution

The fourth proportional to 3,275.56, 4,913.34 and 810.37 is: 1,215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.56 : 4,913.34 = 810.37 : x
  2. Step 2: Convert to fraction form
    3,275.56/4,913.34 = 810.37/x
  3. Step 3: Cross multiply
    3,275.56x = 4,913.34 × 810.37
  4. Step 4: Simplify right side
    3,275.56x = 3,981,623.34
  5. Step 5: Solve for x
    x = 3,981,623.34/3,275.56
  6. Step 6: Final answer
    x = 1,215.56

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