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Finding the Fourth Proportional to 4,952.07, 6,829.92 and 4,208.49

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Solution

The fourth proportional to 4,952.07, 6,829.92 and 4,208.49 is: 5,804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.07 : 6,829.92 = 4,208.49 : x
  2. Step 2: Convert to fraction form
    4,952.07/6,829.92 = 4,208.49/x
  3. Step 3: Cross multiply
    4,952.07x = 6,829.92 × 4,208.49
  4. Step 4: Simplify right side
    4,952.07x = 28,743,650.02
  5. Step 5: Solve for x
    x = 28,743,650.02/4,952.07
  6. Step 6: Final answer
    x = 5,804.37

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1.5x scale

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.