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Finding the Fourth Proportional to 4,659.25, 6,429.47 and 2,534.76

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Solution

The fourth proportional to 4,659.25, 6,429.47 and 2,534.76 is: 3,497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.25 : 6,429.47 = 2,534.76 : x
  2. Step 2: Convert to fraction form
    4,659.25/6,429.47 = 2,534.76/x
  3. Step 3: Cross multiply
    4,659.25x = 6,429.47 × 2,534.76
  4. Step 4: Simplify right side
    4,659.25x = 16,297,163.38
  5. Step 5: Solve for x
    x = 16,297,163.38/4,659.25
  6. Step 6: Final answer
    x = 3,497.81

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Why These Related Problems?

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