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Finding the Fourth Proportional to 4,323.38, 6,443.94 and 4,077.32

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Solution

The fourth proportional to 4,323.38, 6,443.94 and 4,077.32 is: 6,077.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.38 : 6,443.94 = 4,077.32 : x
  2. Step 2: Convert to fraction form
    4,323.38/6,443.94 = 4,077.32/x
  3. Step 3: Cross multiply
    4,323.38x = 6,443.94 × 4,077.32
  4. Step 4: Simplify right side
    4,323.38x = 26,274,005.44
  5. Step 5: Solve for x
    x = 26,274,005.44/4,323.38
  6. Step 6: Final answer
    x = 6,077.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.