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Finding the Fourth Proportional to 4,540.72, 6,804.62 and 1,905.38

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Solution

The fourth proportional to 4,540.72, 6,804.62 and 1,905.38 is: 2,855.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540.72 : 6,804.62 = 1,905.38 : x
  2. Step 2: Convert to fraction form
    4,540.72/6,804.62 = 1,905.38/x
  3. Step 3: Cross multiply
    4,540.72x = 6,804.62 × 1,905.38
  4. Step 4: Simplify right side
    4,540.72x = 12,965,386.86
  5. Step 5: Solve for x
    x = 12,965,386.86/4,540.72
  6. Step 6: Final answer
    x = 2,855.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.