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Finding the Fourth Proportional to 5,812.68, 8,020.62 and 3,574.92

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Solution

The fourth proportional to 5,812.68, 8,020.62 and 3,574.92 is: 4,932.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.68 : 8,020.62 = 3,574.92 : x
  2. Step 2: Convert to fraction form
    5,812.68/8,020.62 = 3,574.92/x
  3. Step 3: Cross multiply
    5,812.68x = 8,020.62 × 3,574.92
  4. Step 4: Simplify right side
    5,812.68x = 28,673,074.85
  5. Step 5: Solve for x
    x = 28,673,074.85/5,812.68
  6. Step 6: Final answer
    x = 4,932.85

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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.