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Finding the Fourth Proportional to 5,405.70, 7,461.71 and 3,168.29

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Solution

The fourth proportional to 5,405.70, 7,461.71 and 3,168.29 is: 4,373.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.70 : 7,461.71 = 3,168.29 : x
  2. Step 2: Convert to fraction form
    5,405.70/7,461.71 = 3,168.29/x
  3. Step 3: Cross multiply
    5,405.70x = 7,461.71 × 3,168.29
  4. Step 4: Simplify right side
    5,405.70x = 23,640,861.18
  5. Step 5: Solve for x
    x = 23,640,861.18/5,405.70
  6. Step 6: Final answer
    x = 4,373.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.