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Finding the Fourth Proportional to 3,750.60, 5,170.50 and 2,569.80

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Solution

The fourth proportional to 3,750.60, 5,170.50 and 2,569.80 is: 3,542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.60 : 5,170.50 = 2,569.80 : x
  2. Step 2: Convert to fraction form
    3,750.60/5,170.50 = 2,569.80/x
  3. Step 3: Cross multiply
    3,750.60x = 5,170.50 × 2,569.80
  4. Step 4: Simplify right side
    3,750.60x = 13,287,150.90
  5. Step 5: Solve for x
    x = 13,287,150.90/3,750.60
  6. Step 6: Final answer
    x = 3,542.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.