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Finding the Fourth Proportional to 5,200.64, 7,174.16 and 3,522.08

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Solution

The fourth proportional to 5,200.64, 7,174.16 and 3,522.08 is: 4,858.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.64 : 7,174.16 = 3,522.08 : x
  2. Step 2: Convert to fraction form
    5,200.64/7,174.16 = 3,522.08/x
  3. Step 3: Cross multiply
    5,200.64x = 7,174.16 × 3,522.08
  4. Step 4: Simplify right side
    5,200.64x = 25,267,965.45
  5. Step 5: Solve for x
    x = 25,267,965.45/5,200.64
  6. Step 6: Final answer
    x = 4,858.63

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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.