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Finding the Fourth Proportional to 5,736.48, 7,916.40 and 3,252

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Solution

The fourth proportional to 5,736.48, 7,916.40 and 3,252 is: 4,487.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.48 : 7,916.40 = 3,252 : x
  2. Step 2: Convert to fraction form
    5,736.48/7,916.40 = 3,252/x
  3. Step 3: Cross multiply
    5,736.48x = 7,916.40 × 3,252
  4. Step 4: Simplify right side
    5,736.48x = 25,744,132.80
  5. Step 5: Solve for x
    x = 25,744,132.80/5,736.48
  6. Step 6: Final answer
    x = 4,487.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.