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Finding the Fourth Proportional to 4,806.52, 7,207.27 and 2,171.76

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Solution

The fourth proportional to 4,806.52, 7,207.27 and 2,171.76 is: 3,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.52 : 7,207.27 = 2,171.76 : x
  2. Step 2: Convert to fraction form
    4,806.52/7,207.27 = 2,171.76/x
  3. Step 3: Cross multiply
    4,806.52x = 7,207.27 × 2,171.76
  4. Step 4: Simplify right side
    4,806.52x = 15,652,455.27
  5. Step 5: Solve for x
    x = 15,652,455.27/4,806.52
  6. Step 6: Final answer
    x = 3,256.50

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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.