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Finding the Fourth Proportional to 3,774.46, 5,670.92 and 3,564.64

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Solution

The fourth proportional to 3,774.46, 5,670.92 and 3,564.64 is: 5,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.46 : 5,670.92 = 3,564.64 : x
  2. Step 2: Convert to fraction form
    3,774.46/5,670.92 = 3,564.64/x
  3. Step 3: Cross multiply
    3,774.46x = 5,670.92 × 3,564.64
  4. Step 4: Simplify right side
    3,774.46x = 20,214,788.27
  5. Step 5: Solve for x
    x = 20,214,788.27/3,774.46
  6. Step 6: Final answer
    x = 5,355.68

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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.