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Finding the Fourth Proportional to 4,830.98, 6,666.84 and 3,769.94

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Solution

The fourth proportional to 4,830.98, 6,666.84 and 3,769.94 is: 5,202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.98 : 6,666.84 = 3,769.94 : x
  2. Step 2: Convert to fraction form
    4,830.98/6,666.84 = 3,769.94/x
  3. Step 3: Cross multiply
    4,830.98x = 6,666.84 × 3,769.94
  4. Step 4: Simplify right side
    4,830.98x = 25,133,586.79
  5. Step 5: Solve for x
    x = 25,133,586.79/4,830.98
  6. Step 6: Final answer
    x = 5,202.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.