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Finding the Fourth Proportional to 5,154.57, 7,721.90 and 3,076.23

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Solution

The fourth proportional to 5,154.57, 7,721.90 and 3,076.23 is: 4,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.57 : 7,721.90 = 3,076.23 : x
  2. Step 2: Convert to fraction form
    5,154.57/7,721.90 = 3,076.23/x
  3. Step 3: Cross multiply
    5,154.57x = 7,721.90 × 3,076.23
  4. Step 4: Simplify right side
    5,154.57x = 23,754,305.75
  5. Step 5: Solve for x
    x = 23,754,305.75/5,154.57
  6. Step 6: Final answer
    x = 4,608.40

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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.