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Finding the Fourth Proportional to 5,171.54, 7,756.05 and 1,474.10

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Solution

The fourth proportional to 5,171.54, 7,756.05 and 1,474.10 is: 2,210.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.54 : 7,756.05 = 1,474.10 : x
  2. Step 2: Convert to fraction form
    5,171.54/7,756.05 = 1,474.10/x
  3. Step 3: Cross multiply
    5,171.54x = 7,756.05 × 1,474.10
  4. Step 4: Simplify right side
    5,171.54x = 11,433,193.31
  5. Step 5: Solve for x
    x = 11,433,193.31/5,171.54
  6. Step 6: Final answer
    x = 2,210.79

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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.