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Finding the Fourth Proportional to 6,524.98, 9,004.53 and 3,540.84

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Solution

The fourth proportional to 6,524.98, 9,004.53 and 3,540.84 is: 4,886.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.98 : 9,004.53 = 3,540.84 : x
  2. Step 2: Convert to fraction form
    6,524.98/9,004.53 = 3,540.84/x
  3. Step 3: Cross multiply
    6,524.98x = 9,004.53 × 3,540.84
  4. Step 4: Simplify right side
    6,524.98x = 31,883,579.52
  5. Step 5: Solve for x
    x = 31,883,579.52/6,524.98
  6. Step 6: Final answer
    x = 4,886.39

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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.