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Finding the Fourth Proportional to 5,171.60, 7,747.61 and 3,056.90

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Solution

The fourth proportional to 5,171.60, 7,747.61 and 3,056.90 is: 4,579.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.60 : 7,747.61 = 3,056.90 : x
  2. Step 2: Convert to fraction form
    5,171.60/7,747.61 = 3,056.90/x
  3. Step 3: Cross multiply
    5,171.60x = 7,747.61 × 3,056.90
  4. Step 4: Simplify right side
    5,171.60x = 23,683,637.91
  5. Step 5: Solve for x
    x = 23,683,637.91/5,171.60
  6. Step 6: Final answer
    x = 4,579.56

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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.