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Finding the Fourth Proportional to 4,632.40, 6,392.05 and 2,642.55

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Solution

The fourth proportional to 4,632.40, 6,392.05 and 2,642.55 is: 3,646.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.40 : 6,392.05 = 2,642.55 : x
  2. Step 2: Convert to fraction form
    4,632.40/6,392.05 = 2,642.55/x
  3. Step 3: Cross multiply
    4,632.40x = 6,392.05 × 2,642.55
  4. Step 4: Simplify right side
    4,632.40x = 16,891,311.73
  5. Step 5: Solve for x
    x = 16,891,311.73/4,632.40
  6. Step 6: Final answer
    x = 3,646.34

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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.