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Finding the Fourth Proportional to 5,325.67, 7,988.49 and 2,984.56

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Solution

The fourth proportional to 5,325.67, 7,988.49 and 2,984.56 is: 4,476.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.67 : 7,988.49 = 2,984.56 : x
  2. Step 2: Convert to fraction form
    5,325.67/7,988.49 = 2,984.56/x
  3. Step 3: Cross multiply
    5,325.67x = 7,988.49 × 2,984.56
  4. Step 4: Simplify right side
    5,325.67x = 23,842,127.71
  5. Step 5: Solve for x
    x = 23,842,127.71/5,325.67
  6. Step 6: Final answer
    x = 4,476.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.