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Finding the Fourth Proportional to 3,905.34, 5,858.64 and 1,443.66

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Solution

The fourth proportional to 3,905.34, 5,858.64 and 1,443.66 is: 2,165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.34 : 5,858.64 = 1,443.66 : x
  2. Step 2: Convert to fraction form
    3,905.34/5,858.64 = 1,443.66/x
  3. Step 3: Cross multiply
    3,905.34x = 5,858.64 × 1,443.66
  4. Step 4: Simplify right side
    3,905.34x = 8,457,884.22
  5. Step 5: Solve for x
    x = 8,457,884.22/3,905.34
  6. Step 6: Final answer
    x = 2,165.72

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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.