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Finding the Fourth Proportional to 3,032.15, 4,548.23 and 952.31

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Solution

The fourth proportional to 3,032.15, 4,548.23 and 952.31 is: 1,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.15 : 4,548.23 = 952.31 : x
  2. Step 2: Convert to fraction form
    3,032.15/4,548.23 = 952.31/x
  3. Step 3: Cross multiply
    3,032.15x = 4,548.23 × 952.31
  4. Step 4: Simplify right side
    3,032.15x = 4,331,335.09
  5. Step 5: Solve for x
    x = 4,331,335.09/3,032.15
  6. Step 6: Final answer
    x = 1,428.47

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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.