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Finding the Fourth Proportional to 4,644.36, 6,951.42 and 3,411.48

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Solution

The fourth proportional to 4,644.36, 6,951.42 and 3,411.48 is: 5,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.36 : 6,951.42 = 3,411.48 : x
  2. Step 2: Convert to fraction form
    4,644.36/6,951.42 = 3,411.48/x
  3. Step 3: Cross multiply
    4,644.36x = 6,951.42 × 3,411.48
  4. Step 4: Simplify right side
    4,644.36x = 23,714,630.30
  5. Step 5: Solve for x
    x = 23,714,630.30/4,644.36
  6. Step 6: Final answer
    x = 5,106.11

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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.