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Finding the Fourth Proportional to 3,295.93, 4,944.31 and 1,215.95

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Solution

The fourth proportional to 3,295.93, 4,944.31 and 1,215.95 is: 1,824.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.93 : 4,944.31 = 1,215.95 : x
  2. Step 2: Convert to fraction form
    3,295.93/4,944.31 = 1,215.95/x
  3. Step 3: Cross multiply
    3,295.93x = 4,944.31 × 1,215.95
  4. Step 4: Simplify right side
    3,295.93x = 6,012,029.41
  5. Step 5: Solve for x
    x = 6,012,029.41/3,295.93
  6. Step 6: Final answer
    x = 1,824.07

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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.