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Finding the Fourth Proportional to 4,051.02, 6,077.67 and 3,665.46

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Solution

The fourth proportional to 4,051.02, 6,077.67 and 3,665.46 is: 5,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.02 : 6,077.67 = 3,665.46 : x
  2. Step 2: Convert to fraction form
    4,051.02/6,077.67 = 3,665.46/x
  3. Step 3: Cross multiply
    4,051.02x = 6,077.67 × 3,665.46
  4. Step 4: Simplify right side
    4,051.02x = 22,277,456.28
  5. Step 5: Solve for x
    x = 22,277,456.28/4,051.02
  6. Step 6: Final answer
    x = 5,499.22

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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.