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Finding the Fourth Proportional to 5,474.34, 8,213.33 and 1,776.69

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Solution

The fourth proportional to 5,474.34, 8,213.33 and 1,776.69 is: 2,665.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.34 : 8,213.33 = 1,776.69 : x
  2. Step 2: Convert to fraction form
    5,474.34/8,213.33 = 1,776.69/x
  3. Step 3: Cross multiply
    5,474.34x = 8,213.33 × 1,776.69
  4. Step 4: Simplify right side
    5,474.34x = 14,592,541.28
  5. Step 5: Solve for x
    x = 14,592,541.28/5,474.34
  6. Step 6: Final answer
    x = 2,665.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.