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Finding the Fourth Proportional to 5,154.69, 7,732.03 and 2,962.02

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Solution

The fourth proportional to 5,154.69, 7,732.03 and 2,962.02 is: 4,443.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.69 : 7,732.03 = 2,962.02 : x
  2. Step 2: Convert to fraction form
    5,154.69/7,732.03 = 2,962.02/x
  3. Step 3: Cross multiply
    5,154.69x = 7,732.03 × 2,962.02
  4. Step 4: Simplify right side
    5,154.69x = 22,902,431.20
  5. Step 5: Solve for x
    x = 22,902,431.20/5,154.69
  6. Step 6: Final answer
    x = 4,443.03

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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.