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Finding the Fourth Proportional to 3,226.63, 4,840.75 and 918.13

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Solution

The fourth proportional to 3,226.63, 4,840.75 and 918.13 is: 1,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.63 : 4,840.75 = 918.13 : x
  2. Step 2: Convert to fraction form
    3,226.63/4,840.75 = 918.13/x
  3. Step 3: Cross multiply
    3,226.63x = 4,840.75 × 918.13
  4. Step 4: Simplify right side
    3,226.63x = 4,444,437.80
  5. Step 5: Solve for x
    x = 4,444,437.80/3,226.63
  6. Step 6: Final answer
    x = 1,377.42

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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.