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Finding the Fourth Proportional to 4,821.14, 7,234.45 and 3,178.46

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Solution

The fourth proportional to 4,821.14, 7,234.45 and 3,178.46 is: 4,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.14 : 7,234.45 = 3,178.46 : x
  2. Step 2: Convert to fraction form
    4,821.14/7,234.45 = 3,178.46/x
  3. Step 3: Cross multiply
    4,821.14x = 7,234.45 × 3,178.46
  4. Step 4: Simplify right side
    4,821.14x = 22,994,420.09
  5. Step 5: Solve for x
    x = 22,994,420.09/4,821.14
  6. Step 6: Final answer
    x = 4,769.50

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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.