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Finding the Fourth Proportional to 5,309.54, 7,327.91 and 3,822.38

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Solution

The fourth proportional to 5,309.54, 7,327.91 and 3,822.38 is: 5,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.54 : 7,327.91 = 3,822.38 : x
  2. Step 2: Convert to fraction form
    5,309.54/7,327.91 = 3,822.38/x
  3. Step 3: Cross multiply
    5,309.54x = 7,327.91 × 3,822.38
  4. Step 4: Simplify right side
    5,309.54x = 28,010,037.51
  5. Step 5: Solve for x
    x = 28,010,037.51/5,309.54
  6. Step 6: Final answer
    x = 5,275.42

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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.