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Finding the Fourth Proportional to 5,533.60, 7,638.96 and 3,962.56

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Solution

The fourth proportional to 5,533.60, 7,638.96 and 3,962.56 is: 5,470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533.60 : 7,638.96 = 3,962.56 : x
  2. Step 2: Convert to fraction form
    5,533.60/7,638.96 = 3,962.56/x
  3. Step 3: Cross multiply
    5,533.60x = 7,638.96 × 3,962.56
  4. Step 4: Simplify right side
    5,533.60x = 30,269,837.34
  5. Step 5: Solve for x
    x = 30,269,837.34/5,533.60
  6. Step 6: Final answer
    x = 5,470.19

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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.