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Finding the Fourth Proportional to 5,802.89, 8,736.17 and 3,965.81

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Solution

The fourth proportional to 5,802.89, 8,736.17 and 3,965.81 is: 5,970.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.89 : 8,736.17 = 3,965.81 : x
  2. Step 2: Convert to fraction form
    5,802.89/8,736.17 = 3,965.81/x
  3. Step 3: Cross multiply
    5,802.89x = 8,736.17 × 3,965.81
  4. Step 4: Simplify right side
    5,802.89x = 34,645,926.84
  5. Step 5: Solve for x
    x = 34,645,926.84/5,802.89
  6. Step 6: Final answer
    x = 5,970.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.