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Finding the Fourth Proportional to 5,200.27, 7,178.36 and 3,530.32

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Solution

The fourth proportional to 5,200.27, 7,178.36 and 3,530.32 is: 4,873.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.27 : 7,178.36 = 3,530.32 : x
  2. Step 2: Convert to fraction form
    5,200.27/7,178.36 = 3,530.32/x
  3. Step 3: Cross multiply
    5,200.27x = 7,178.36 × 3,530.32
  4. Step 4: Simplify right side
    5,200.27x = 25,341,872.28
  5. Step 5: Solve for x
    x = 25,341,872.28/5,200.27
  6. Step 6: Final answer
    x = 4,873.19

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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.