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Finding the Fourth Proportional to 5,362.82, 7,405.20 and 4,034.22

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Solution

The fourth proportional to 5,362.82, 7,405.20 and 4,034.22 is: 5,570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.82 : 7,405.20 = 4,034.22 : x
  2. Step 2: Convert to fraction form
    5,362.82/7,405.20 = 4,034.22/x
  3. Step 3: Cross multiply
    5,362.82x = 7,405.20 × 4,034.22
  4. Step 4: Simplify right side
    5,362.82x = 29,874,205.94
  5. Step 5: Solve for x
    x = 29,874,205.94/5,362.82
  6. Step 6: Final answer
    x = 5,570.62

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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.