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Finding the Fourth Proportional to 3,443.18, 5,166.83 and 3,164.34

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Solution

The fourth proportional to 3,443.18, 5,166.83 and 3,164.34 is: 4,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.18 : 5,166.83 = 3,164.34 : x
  2. Step 2: Convert to fraction form
    3,443.18/5,166.83 = 3,164.34/x
  3. Step 3: Cross multiply
    3,443.18x = 5,166.83 × 3,164.34
  4. Step 4: Simplify right side
    3,443.18x = 16,349,606.84
  5. Step 5: Solve for x
    x = 16,349,606.84/3,443.18
  6. Step 6: Final answer
    x = 4,748.40

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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.