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Finding the Fourth Proportional to 4,674.78, 7,007.85 and 2,076.30

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Solution

The fourth proportional to 4,674.78, 7,007.85 and 2,076.30 is: 3,112.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.78 : 7,007.85 = 2,076.30 : x
  2. Step 2: Convert to fraction form
    4,674.78/7,007.85 = 2,076.30/x
  3. Step 3: Cross multiply
    4,674.78x = 7,007.85 × 2,076.30
  4. Step 4: Simplify right side
    4,674.78x = 14,550,398.96
  5. Step 5: Solve for x
    x = 14,550,398.96/4,674.78
  6. Step 6: Final answer
    x = 3,112.53

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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.