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Finding the Fourth Proportional to 4,632.68, 6,952.50 and 3,403.22

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Solution

The fourth proportional to 4,632.68, 6,952.50 and 3,403.22 is: 5,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.68 : 6,952.50 = 3,403.22 : x
  2. Step 2: Convert to fraction form
    4,632.68/6,952.50 = 3,403.22/x
  3. Step 3: Cross multiply
    4,632.68x = 6,952.50 × 3,403.22
  4. Step 4: Simplify right side
    4,632.68x = 23,660,887.05
  5. Step 5: Solve for x
    x = 23,660,887.05/4,632.68
  6. Step 6: Final answer
    x = 5,107.39

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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.