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Finding the Fourth Proportional to 5,744.68, 7,927.26 and 5,274.14

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Solution

The fourth proportional to 5,744.68, 7,927.26 and 5,274.14 is: 7,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.68 : 7,927.26 = 5,274.14 : x
  2. Step 2: Convert to fraction form
    5,744.68/7,927.26 = 5,274.14/x
  3. Step 3: Cross multiply
    5,744.68x = 7,927.26 × 5,274.14
  4. Step 4: Simplify right side
    5,744.68x = 41,809,479.06
  5. Step 5: Solve for x
    x = 41,809,479.06/5,744.68
  6. Step 6: Final answer
    x = 7,277.95

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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.