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Finding the Fourth Proportional to 4,507.38, 6,733.74 and 3,769.32

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Solution

The fourth proportional to 4,507.38, 6,733.74 and 3,769.32 is: 5,631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.38 : 6,733.74 = 3,769.32 : x
  2. Step 2: Convert to fraction form
    4,507.38/6,733.74 = 3,769.32/x
  3. Step 3: Cross multiply
    4,507.38x = 6,733.74 × 3,769.32
  4. Step 4: Simplify right side
    4,507.38x = 25,381,620.86
  5. Step 5: Solve for x
    x = 25,381,620.86/4,507.38
  6. Step 6: Final answer
    x = 5,631.13

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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.