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Finding the Fourth Proportional to 4,644.59, 6,373.98 and 4,611.78

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Solution

The fourth proportional to 4,644.59, 6,373.98 and 4,611.78 is: 6,328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.59 : 6,373.98 = 4,611.78 : x
  2. Step 2: Convert to fraction form
    4,644.59/6,373.98 = 4,611.78/x
  3. Step 3: Cross multiply
    4,644.59x = 6,373.98 × 4,611.78
  4. Step 4: Simplify right side
    4,644.59x = 29,395,393.48
  5. Step 5: Solve for x
    x = 29,395,393.48/4,644.59
  6. Step 6: Final answer
    x = 6,328.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.