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Finding the Fourth Proportional to 4,452.78, 6,145.44 and 2,564.67

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Solution

The fourth proportional to 4,452.78, 6,145.44 and 2,564.67 is: 3,539.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,452.78 : 6,145.44 = 2,564.67 : x
  2. Step 2: Convert to fraction form
    4,452.78/6,145.44 = 2,564.67/x
  3. Step 3: Cross multiply
    4,452.78x = 6,145.44 × 2,564.67
  4. Step 4: Simplify right side
    4,452.78x = 15,761,025.60
  5. Step 5: Solve for x
    x = 15,761,025.60/4,452.78
  6. Step 6: Final answer
    x = 3,539.59

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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.