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Finding the Fourth Proportional to 4,664.52, 6,434.88 and 3,251.67

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Solution

The fourth proportional to 4,664.52, 6,434.88 and 3,251.67 is: 4,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.52 : 6,434.88 = 3,251.67 : x
  2. Step 2: Convert to fraction form
    4,664.52/6,434.88 = 3,251.67/x
  3. Step 3: Cross multiply
    4,664.52x = 6,434.88 × 3,251.67
  4. Step 4: Simplify right side
    4,664.52x = 20,924,106.25
  5. Step 5: Solve for x
    x = 20,924,106.25/4,664.52
  6. Step 6: Final answer
    x = 4,485.80

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