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Finding the Fourth Proportional to 5,728.74, 7,907.16 and 3,371.64

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Solution

The fourth proportional to 5,728.74, 7,907.16 and 3,371.64 is: 4,653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.74 : 7,907.16 = 3,371.64 : x
  2. Step 2: Convert to fraction form
    5,728.74/7,907.16 = 3,371.64/x
  3. Step 3: Cross multiply
    5,728.74x = 7,907.16 × 3,371.64
  4. Step 4: Simplify right side
    5,728.74x = 26,660,096.94
  5. Step 5: Solve for x
    x = 26,660,096.94/5,728.74
  6. Step 6: Final answer
    x = 4,653.75

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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.