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Finding the Fourth Proportional to 5,286.25, 7,294.21 and 2,928.34

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Solution

The fourth proportional to 5,286.25, 7,294.21 and 2,928.34 is: 4,040.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.25 : 7,294.21 = 2,928.34 : x
  2. Step 2: Convert to fraction form
    5,286.25/7,294.21 = 2,928.34/x
  3. Step 3: Cross multiply
    5,286.25x = 7,294.21 × 2,928.34
  4. Step 4: Simplify right side
    5,286.25x = 21,359,926.91
  5. Step 5: Solve for x
    x = 21,359,926.91/5,286.25
  6. Step 6: Final answer
    x = 4,040.66

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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.