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Finding the Fourth Proportional to 4,968.25, 7,453.53 and 1,458.31

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Solution

The fourth proportional to 4,968.25, 7,453.53 and 1,458.31 is: 2,187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.25 : 7,453.53 = 1,458.31 : x
  2. Step 2: Convert to fraction form
    4,968.25/7,453.53 = 1,458.31/x
  3. Step 3: Cross multiply
    4,968.25x = 7,453.53 × 1,458.31
  4. Step 4: Simplify right side
    4,968.25x = 10,869,557.33
  5. Step 5: Solve for x
    x = 10,869,557.33/4,968.25
  6. Step 6: Final answer
    x = 2,187.80

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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.