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Finding the Fourth Proportional to 4,608.57, 6,915.21 and 1,975.38

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Solution

The fourth proportional to 4,608.57, 6,915.21 and 1,975.38 is: 2,964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.57 : 6,915.21 = 1,975.38 : x
  2. Step 2: Convert to fraction form
    4,608.57/6,915.21 = 1,975.38/x
  3. Step 3: Cross multiply
    4,608.57x = 6,915.21 × 1,975.38
  4. Step 4: Simplify right side
    4,608.57x = 13,660,134.19
  5. Step 5: Solve for x
    x = 13,660,134.19/4,608.57
  6. Step 6: Final answer
    x = 2,964.07

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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.