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Finding the Fourth Proportional to 6,476.58, 8,937.38 and 3,644.42

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Solution

The fourth proportional to 6,476.58, 8,937.38 and 3,644.42 is: 5,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.58 : 8,937.38 = 3,644.42 : x
  2. Step 2: Convert to fraction form
    6,476.58/8,937.38 = 3,644.42/x
  3. Step 3: Cross multiply
    6,476.58x = 8,937.38 × 3,644.42
  4. Step 4: Simplify right side
    6,476.58x = 32,571,566.42
  5. Step 5: Solve for x
    x = 32,571,566.42/6,476.58
  6. Step 6: Final answer
    x = 5,029.13

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Why These Related Problems?

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