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Finding the Fourth Proportional to 5,293.15, 7,928.96 and 3,438.64

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Solution

The fourth proportional to 5,293.15, 7,928.96 and 3,438.64 is: 5,150.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.15 : 7,928.96 = 3,438.64 : x
  2. Step 2: Convert to fraction form
    5,293.15/7,928.96 = 3,438.64/x
  3. Step 3: Cross multiply
    5,293.15x = 7,928.96 × 3,438.64
  4. Step 4: Simplify right side
    5,293.15x = 27,264,839.01
  5. Step 5: Solve for x
    x = 27,264,839.01/5,293.15
  6. Step 6: Final answer
    x = 5,150.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.