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Finding the Fourth Proportional to 3,263.58, 4,895.36 and 798.37

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Solution

The fourth proportional to 3,263.58, 4,895.36 and 798.37 is: 1,197.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.58 : 4,895.36 = 798.37 : x
  2. Step 2: Convert to fraction form
    3,263.58/4,895.36 = 798.37/x
  3. Step 3: Cross multiply
    3,263.58x = 4,895.36 × 798.37
  4. Step 4: Simplify right side
    3,263.58x = 3,908,284.09
  5. Step 5: Solve for x
    x = 3,908,284.09/3,263.58
  6. Step 6: Final answer
    x = 1,197.55

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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.