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Finding the Fourth Proportional to 3,527.88, 4,832.57 and 3,489

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Solution

The fourth proportional to 3,527.88, 4,832.57 and 3,489 is: 4,779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.88 : 4,832.57 = 3,489 : x
  2. Step 2: Convert to fraction form
    3,527.88/4,832.57 = 3,489/x
  3. Step 3: Cross multiply
    3,527.88x = 4,832.57 × 3,489
  4. Step 4: Simplify right side
    3,527.88x = 16,860,836.73
  5. Step 5: Solve for x
    x = 16,860,836.73/3,527.88
  6. Step 6: Final answer
    x = 4,779.31

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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.