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Finding the Fourth Proportional to 5,264.38, 7,896.84 and 3,186.64

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Solution

The fourth proportional to 5,264.38, 7,896.84 and 3,186.64 is: 4,780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.38 : 7,896.84 = 3,186.64 : x
  2. Step 2: Convert to fraction form
    5,264.38/7,896.84 = 3,186.64/x
  3. Step 3: Cross multiply
    5,264.38x = 7,896.84 × 3,186.64
  4. Step 4: Simplify right side
    5,264.38x = 25,164,386.22
  5. Step 5: Solve for x
    x = 25,164,386.22/5,264.38
  6. Step 6: Final answer
    x = 4,780.12

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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.