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Finding the Fourth Proportional to 5,523.42, 7,624.29 and 3,285.29

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Solution

The fourth proportional to 5,523.42, 7,624.29 and 3,285.29 is: 4,534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.42 : 7,624.29 = 3,285.29 : x
  2. Step 2: Convert to fraction form
    5,523.42/7,624.29 = 3,285.29/x
  3. Step 3: Cross multiply
    5,523.42x = 7,624.29 × 3,285.29
  4. Step 4: Simplify right side
    5,523.42x = 25,048,035.07
  5. Step 5: Solve for x
    x = 25,048,035.07/5,523.42
  6. Step 6: Final answer
    x = 4,534.87

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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.