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Finding the Fourth Proportional to 3,224.23, 4,836.77 and 1,032.19

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Solution

The fourth proportional to 3,224.23, 4,836.77 and 1,032.19 is: 1,548.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.23 : 4,836.77 = 1,032.19 : x
  2. Step 2: Convert to fraction form
    3,224.23/4,836.77 = 1,032.19/x
  3. Step 3: Cross multiply
    3,224.23x = 4,836.77 × 1,032.19
  4. Step 4: Simplify right side
    3,224.23x = 4,992,465.63
  5. Step 5: Solve for x
    x = 4,992,465.63/3,224.23
  6. Step 6: Final answer
    x = 1,548.42

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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.