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Finding the Fourth Proportional to 4,614, 6,367.14 and 2,624.82

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Solution

The fourth proportional to 4,614, 6,367.14 and 2,624.82 is: 3,622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614 : 6,367.14 = 2,624.82 : x
  2. Step 2: Convert to fraction form
    4,614/6,367.14 = 2,624.82/x
  3. Step 3: Cross multiply
    4,614x = 6,367.14 × 2,624.82
  4. Step 4: Simplify right side
    4,614x = 16,712,596.41
  5. Step 5: Solve for x
    x = 16,712,596.41/4,614
  6. Step 6: Final answer
    x = 3,622.15

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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.