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Finding the Fourth Proportional to 5,804.72, 8,007.52 and 3,676.64

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Solution

The fourth proportional to 5,804.72, 8,007.52 and 3,676.64 is: 5,071.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.72 : 8,007.52 = 3,676.64 : x
  2. Step 2: Convert to fraction form
    5,804.72/8,007.52 = 3,676.64/x
  3. Step 3: Cross multiply
    5,804.72x = 8,007.52 × 3,676.64
  4. Step 4: Simplify right side
    5,804.72x = 29,440,768.33
  5. Step 5: Solve for x
    x = 29,440,768.33/5,804.72
  6. Step 6: Final answer
    x = 5,071.87

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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.