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Finding the Fourth Proportional to 5,682.62, 8,508 and 4,291.58

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Solution

The fourth proportional to 5,682.62, 8,508 and 4,291.58 is: 6,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.62 : 8,508 = 4,291.58 : x
  2. Step 2: Convert to fraction form
    5,682.62/8,508 = 4,291.58/x
  3. Step 3: Cross multiply
    5,682.62x = 8,508 × 4,291.58
  4. Step 4: Simplify right side
    5,682.62x = 36,512,762.64
  5. Step 5: Solve for x
    x = 36,512,762.64/5,682.62
  6. Step 6: Final answer
    x = 6,425.34

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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.