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Finding the Fourth Proportional to 5,812.35, 8,021.04 and 3,294.63

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Solution

The fourth proportional to 5,812.35, 8,021.04 and 3,294.63 is: 4,546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.35 : 8,021.04 = 3,294.63 : x
  2. Step 2: Convert to fraction form
    5,812.35/8,021.04 = 3,294.63/x
  3. Step 3: Cross multiply
    5,812.35x = 8,021.04 × 3,294.63
  4. Step 4: Simplify right side
    5,812.35x = 26,426,359.02
  5. Step 5: Solve for x
    x = 26,426,359.02/5,812.35
  6. Step 6: Final answer
    x = 4,546.59

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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.