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Finding the Fourth Proportional to 4,266.47, 6,402.06 and 1,635.72

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Solution

The fourth proportional to 4,266.47, 6,402.06 and 1,635.72 is: 2,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.47 : 6,402.06 = 1,635.72 : x
  2. Step 2: Convert to fraction form
    4,266.47/6,402.06 = 1,635.72/x
  3. Step 3: Cross multiply
    4,266.47x = 6,402.06 × 1,635.72
  4. Step 4: Simplify right side
    4,266.47x = 10,471,977.58
  5. Step 5: Solve for x
    x = 10,471,977.58/4,266.47
  6. Step 6: Final answer
    x = 2,454.49

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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.