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Finding the Fourth Proportional to 5,245.24, 7,242.10 and 3,675.48

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Solution

The fourth proportional to 5,245.24, 7,242.10 and 3,675.48 is: 5,074.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.24 : 7,242.10 = 3,675.48 : x
  2. Step 2: Convert to fraction form
    5,245.24/7,242.10 = 3,675.48/x
  3. Step 3: Cross multiply
    5,245.24x = 7,242.10 × 3,675.48
  4. Step 4: Simplify right side
    5,245.24x = 26,618,193.71
  5. Step 5: Solve for x
    x = 26,618,193.71/5,245.24
  6. Step 6: Final answer
    x = 5,074.73

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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.