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Finding the Fourth Proportional to 5,122.87, 7,668.58 and 3,735.87

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Solution

The fourth proportional to 5,122.87, 7,668.58 and 3,735.87 is: 5,592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.87 : 7,668.58 = 3,735.87 : x
  2. Step 2: Convert to fraction form
    5,122.87/7,668.58 = 3,735.87/x
  3. Step 3: Cross multiply
    5,122.87x = 7,668.58 × 3,735.87
  4. Step 4: Simplify right side
    5,122.87x = 28,648,817.96
  5. Step 5: Solve for x
    x = 28,648,817.96/5,122.87
  6. Step 6: Final answer
    x = 5,592.34

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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.