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Finding the Fourth Proportional to 4,548.96, 6,823.44 and 1,262.08

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Solution

The fourth proportional to 4,548.96, 6,823.44 and 1,262.08 is: 1,893.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.96 : 6,823.44 = 1,262.08 : x
  2. Step 2: Convert to fraction form
    4,548.96/6,823.44 = 1,262.08/x
  3. Step 3: Cross multiply
    4,548.96x = 6,823.44 × 1,262.08
  4. Step 4: Simplify right side
    4,548.96x = 8,611,735.68
  5. Step 5: Solve for x
    x = 8,611,735.68/4,548.96
  6. Step 6: Final answer
    x = 1,893.12

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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.