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Finding the Fourth Proportional to 3,905.55, 5,861.34 and 1,442.70

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Solution

The fourth proportional to 3,905.55, 5,861.34 and 1,442.70 is: 2,165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.55 : 5,861.34 = 1,442.70 : x
  2. Step 2: Convert to fraction form
    3,905.55/5,861.34 = 1,442.70/x
  3. Step 3: Cross multiply
    3,905.55x = 5,861.34 × 1,442.70
  4. Step 4: Simplify right side
    3,905.55x = 8,456,155.22
  5. Step 5: Solve for x
    x = 8,456,155.22/3,905.55
  6. Step 6: Final answer
    x = 2,165.16

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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.