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Finding the Fourth Proportional to 5,076.67, 7,604.54 and 4,651.42

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Solution

The fourth proportional to 5,076.67, 7,604.54 and 4,651.42 is: 6,967.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.67 : 7,604.54 = 4,651.42 : x
  2. Step 2: Convert to fraction form
    5,076.67/7,604.54 = 4,651.42/x
  3. Step 3: Cross multiply
    5,076.67x = 7,604.54 × 4,651.42
  4. Step 4: Simplify right side
    5,076.67x = 35,371,848.17
  5. Step 5: Solve for x
    x = 35,371,848.17/5,076.67
  6. Step 6: Final answer
    x = 6,967.54

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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.