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Finding the Fourth Proportional to 5,768.67, 7,957.80 and 3,406.71

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Solution

The fourth proportional to 5,768.67, 7,957.80 and 3,406.71 is: 4,699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.67 : 7,957.80 = 3,406.71 : x
  2. Step 2: Convert to fraction form
    5,768.67/7,957.80 = 3,406.71/x
  3. Step 3: Cross multiply
    5,768.67x = 7,957.80 × 3,406.71
  4. Step 4: Simplify right side
    5,768.67x = 27,109,916.84
  5. Step 5: Solve for x
    x = 27,109,916.84/5,768.67
  6. Step 6: Final answer
    x = 4,699.51

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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.