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Finding the Fourth Proportional to 5,812.34, 8,021 and 3,294.93

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Solution

The fourth proportional to 5,812.34, 8,021 and 3,294.93 is: 4,546.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.34 : 8,021 = 3,294.93 : x
  2. Step 2: Convert to fraction form
    5,812.34/8,021 = 3,294.93/x
  3. Step 3: Cross multiply
    5,812.34x = 8,021 × 3,294.93
  4. Step 4: Simplify right side
    5,812.34x = 26,428,633.53
  5. Step 5: Solve for x
    x = 26,428,633.53/5,812.34
  6. Step 6: Final answer
    x = 4,546.99

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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.