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Finding the Fourth Proportional to 3,905.74, 5,860.50 and 3,893.86

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Solution

The fourth proportional to 3,905.74, 5,860.50 and 3,893.86 is: 5,842.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.74 : 5,860.50 = 3,893.86 : x
  2. Step 2: Convert to fraction form
    3,905.74/5,860.50 = 3,893.86/x
  3. Step 3: Cross multiply
    3,905.74x = 5,860.50 × 3,893.86
  4. Step 4: Simplify right side
    3,905.74x = 22,819,966.53
  5. Step 5: Solve for x
    x = 22,819,966.53/3,905.74
  6. Step 6: Final answer
    x = 5,842.67

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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.