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Finding the Fourth Proportional to 5,802.09, 8,007.21 and 3,412.80

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Solution

The fourth proportional to 5,802.09, 8,007.21 and 3,412.80 is: 4,709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.09 : 8,007.21 = 3,412.80 : x
  2. Step 2: Convert to fraction form
    5,802.09/8,007.21 = 3,412.80/x
  3. Step 3: Cross multiply
    5,802.09x = 8,007.21 × 3,412.80
  4. Step 4: Simplify right side
    5,802.09x = 27,327,006.29
  5. Step 5: Solve for x
    x = 27,327,006.29/5,802.09
  6. Step 6: Final answer
    x = 4,709.86

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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.