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Finding the Fourth Proportional to 3,861.58, 5,801.60 and 2,477.63

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Solution

The fourth proportional to 3,861.58, 5,801.60 and 2,477.63 is: 3,722.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.58 : 5,801.60 = 2,477.63 : x
  2. Step 2: Convert to fraction form
    3,861.58/5,801.60 = 2,477.63/x
  3. Step 3: Cross multiply
    3,861.58x = 5,801.60 × 2,477.63
  4. Step 4: Simplify right side
    3,861.58x = 14,374,218.21
  5. Step 5: Solve for x
    x = 14,374,218.21/3,861.58
  6. Step 6: Final answer
    x = 3,722.37

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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.