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Finding the Fourth Proportional to 5,272.65, 7,905.06 and 3,192.16

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Solution

The fourth proportional to 5,272.65, 7,905.06 and 3,192.16 is: 4,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.65 : 7,905.06 = 3,192.16 : x
  2. Step 2: Convert to fraction form
    5,272.65/7,905.06 = 3,192.16/x
  3. Step 3: Cross multiply
    5,272.65x = 7,905.06 × 3,192.16
  4. Step 4: Simplify right side
    5,272.65x = 25,234,216.33
  5. Step 5: Solve for x
    x = 25,234,216.33/5,272.65
  6. Step 6: Final answer
    x = 4,785.87

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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.