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Finding the Fourth Proportional to 5,020.36, 7,524.76 and 2,707

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Solution

The fourth proportional to 5,020.36, 7,524.76 and 2,707 is: 4,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,020.36 : 7,524.76 = 2,707 : x
  2. Step 2: Convert to fraction form
    5,020.36/7,524.76 = 2,707/x
  3. Step 3: Cross multiply
    5,020.36x = 7,524.76 × 2,707
  4. Step 4: Simplify right side
    5,020.36x = 20,369,525.32
  5. Step 5: Solve for x
    x = 20,369,525.32/5,020.36
  6. Step 6: Final answer
    x = 4,057.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.