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Finding the Fourth Proportional to 3,832.70, 5,287.74 and 2,507.16

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Solution

The fourth proportional to 3,832.70, 5,287.74 and 2,507.16 is: 3,458.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.70 : 5,287.74 = 2,507.16 : x
  2. Step 2: Convert to fraction form
    3,832.70/5,287.74 = 2,507.16/x
  3. Step 3: Cross multiply
    3,832.70x = 5,287.74 × 2,507.16
  4. Step 4: Simplify right side
    3,832.70x = 13,257,210.22
  5. Step 5: Solve for x
    x = 13,257,210.22/3,832.70
  6. Step 6: Final answer
    x = 3,458.97

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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.