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Finding the Fourth Proportional to 4,671.06, 7,003.54 and 3,276.64

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Solution

The fourth proportional to 4,671.06, 7,003.54 and 3,276.64 is: 4,912.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.06 : 7,003.54 = 3,276.64 : x
  2. Step 2: Convert to fraction form
    4,671.06/7,003.54 = 3,276.64/x
  3. Step 3: Cross multiply
    4,671.06x = 7,003.54 × 3,276.64
  4. Step 4: Simplify right side
    4,671.06x = 22,948,079.31
  5. Step 5: Solve for x
    x = 22,948,079.31/4,671.06
  6. Step 6: Final answer
    x = 4,912.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.