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Finding the Fourth Proportional to 4,813.65, 6,643.31 and 2,924.82

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Solution

The fourth proportional to 4,813.65, 6,643.31 and 2,924.82 is: 4,036.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.65 : 6,643.31 = 2,924.82 : x
  2. Step 2: Convert to fraction form
    4,813.65/6,643.31 = 2,924.82/x
  3. Step 3: Cross multiply
    4,813.65x = 6,643.31 × 2,924.82
  4. Step 4: Simplify right side
    4,813.65x = 19,430,471.33
  5. Step 5: Solve for x
    x = 19,430,471.33/4,813.65
  6. Step 6: Final answer
    x = 4,036.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.