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Finding the Fourth Proportional to 4,644.33, 6,967.89 and 1,357.44

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Solution

The fourth proportional to 4,644.33, 6,967.89 and 1,357.44 is: 2,036.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.33 : 6,967.89 = 1,357.44 : x
  2. Step 2: Convert to fraction form
    4,644.33/6,967.89 = 1,357.44/x
  3. Step 3: Cross multiply
    4,644.33x = 6,967.89 × 1,357.44
  4. Step 4: Simplify right side
    4,644.33x = 9,458,492.60
  5. Step 5: Solve for x
    x = 9,458,492.60/4,644.33
  6. Step 6: Final answer
    x = 2,036.57

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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.