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Finding the Fourth Proportional to 5,665.29, 7,815.38 and 3,676.47

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Solution

The fourth proportional to 5,665.29, 7,815.38 and 3,676.47 is: 5,071.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.29 : 7,815.38 = 3,676.47 : x
  2. Step 2: Convert to fraction form
    5,665.29/7,815.38 = 3,676.47/x
  3. Step 3: Cross multiply
    5,665.29x = 7,815.38 × 3,676.47
  4. Step 4: Simplify right side
    5,665.29x = 28,732,991.73
  5. Step 5: Solve for x
    x = 28,732,991.73/5,665.29
  6. Step 6: Final answer
    x = 5,071.76

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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.