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Finding the Fourth Proportional to 5,562.75, 7,674.01 and 3,203.53

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Solution

The fourth proportional to 5,562.75, 7,674.01 and 3,203.53 is: 4,419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562.75 : 7,674.01 = 3,203.53 : x
  2. Step 2: Convert to fraction form
    5,562.75/7,674.01 = 3,203.53/x
  3. Step 3: Cross multiply
    5,562.75x = 7,674.01 × 3,203.53
  4. Step 4: Simplify right side
    5,562.75x = 24,583,894.06
  5. Step 5: Solve for x
    x = 24,583,894.06/5,562.75
  6. Step 6: Final answer
    x = 4,419.37

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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.