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Finding the Fourth Proportional to 5,147.81, 7,699.46 and 3,034.42

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Solution

The fourth proportional to 5,147.81, 7,699.46 and 3,034.42 is: 4,538.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.81 : 7,699.46 = 3,034.42 : x
  2. Step 2: Convert to fraction form
    5,147.81/7,699.46 = 3,034.42/x
  3. Step 3: Cross multiply
    5,147.81x = 7,699.46 × 3,034.42
  4. Step 4: Simplify right side
    5,147.81x = 23,363,401.24
  5. Step 5: Solve for x
    x = 23,363,401.24/5,147.81
  6. Step 6: Final answer
    x = 4,538.51

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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.