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Finding the Fourth Proportional to 4,658.88, 6,429.38 and 2,534.54

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Solution

The fourth proportional to 4,658.88, 6,429.38 and 2,534.54 is: 3,497.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.88 : 6,429.38 = 2,534.54 : x
  2. Step 2: Convert to fraction form
    4,658.88/6,429.38 = 2,534.54/x
  3. Step 3: Cross multiply
    4,658.88x = 6,429.38 × 2,534.54
  4. Step 4: Simplify right side
    4,658.88x = 16,295,524.19
  5. Step 5: Solve for x
    x = 16,295,524.19/4,658.88
  6. Step 6: Final answer
    x = 3,497.73

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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.