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Finding the Fourth Proportional to 5,812.14, 8,020.80 and 3,159.54

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Solution

The fourth proportional to 5,812.14, 8,020.80 and 3,159.54 is: 4,360.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.14 : 8,020.80 = 3,159.54 : x
  2. Step 2: Convert to fraction form
    5,812.14/8,020.80 = 3,159.54/x
  3. Step 3: Cross multiply
    5,812.14x = 8,020.80 × 3,159.54
  4. Step 4: Simplify right side
    5,812.14x = 25,342,038.43
  5. Step 5: Solve for x
    x = 25,342,038.43/5,812.14
  6. Step 6: Final answer
    x = 4,360.19

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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.