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Finding the Fourth Proportional to 4,551.64, 6,823.68 and 3,167.68

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Solution

The fourth proportional to 4,551.64, 6,823.68 and 3,167.68 is: 4,748.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551.64 : 6,823.68 = 3,167.68 : x
  2. Step 2: Convert to fraction form
    4,551.64/6,823.68 = 3,167.68/x
  3. Step 3: Cross multiply
    4,551.64x = 6,823.68 × 3,167.68
  4. Step 4: Simplify right side
    4,551.64x = 21,615,234.66
  5. Step 5: Solve for x
    x = 21,615,234.66/4,551.64
  6. Step 6: Final answer
    x = 4,748.89

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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.