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Finding the Fourth Proportional to 5,171.35, 7,757.07 and 1,473.58

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Solution

The fourth proportional to 5,171.35, 7,757.07 and 1,473.58 is: 2,210.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.35 : 7,757.07 = 1,473.58 : x
  2. Step 2: Convert to fraction form
    5,171.35/7,757.07 = 1,473.58/x
  3. Step 3: Cross multiply
    5,171.35x = 7,757.07 × 1,473.58
  4. Step 4: Simplify right side
    5,171.35x = 11,430,624.43
  5. Step 5: Solve for x
    x = 11,430,624.43/5,171.35
  6. Step 6: Final answer
    x = 2,210.38

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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.