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Finding the Fourth Proportional to 5,174.94, 7,760.15 and 1,476.35

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Solution

The fourth proportional to 5,174.94, 7,760.15 and 1,476.35 is: 2,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.94 : 7,760.15 = 1,476.35 : x
  2. Step 2: Convert to fraction form
    5,174.94/7,760.15 = 1,476.35/x
  3. Step 3: Cross multiply
    5,174.94x = 7,760.15 × 1,476.35
  4. Step 4: Simplify right side
    5,174.94x = 11,456,697.45
  5. Step 5: Solve for x
    x = 11,456,697.45/5,174.94
  6. Step 6: Final answer
    x = 2,213.88

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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.