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Finding the Fourth Proportional to 5,171.78, 7,757.70 and 1,474.00

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Solution

The fourth proportional to 5,171.78, 7,757.70 and 1,474.00 is: 2,211.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.78 : 7,757.70 = 1,474.00 : x
  2. Step 2: Convert to fraction form
    5,171.78/7,757.70 = 1,474.00/x
  3. Step 3: Cross multiply
    5,171.78x = 7,757.70 × 1,474.00
  4. Step 4: Simplify right side
    5,171.78x = 11,434,830.41
  5. Step 5: Solve for x
    x = 11,434,830.41/5,171.78
  6. Step 6: Final answer
    x = 2,211.01

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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.