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Finding the Fourth Proportional to 5,812.53, 8,718.64 and 2,114.83

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Solution

The fourth proportional to 5,812.53, 8,718.64 and 2,114.83 is: 3,172.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.53 : 8,718.64 = 2,114.83 : x
  2. Step 2: Convert to fraction form
    5,812.53/8,718.64 = 2,114.83/x
  3. Step 3: Cross multiply
    5,812.53x = 8,718.64 × 2,114.83
  4. Step 4: Simplify right side
    5,812.53x = 18,438,398.00
  5. Step 5: Solve for x
    x = 18,438,398.00/5,812.53
  6. Step 6: Final answer
    x = 3,172.18

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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.