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Finding the Fourth Proportional to 5,309.32, 7,975.50 and 4,489.24

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Solution

The fourth proportional to 5,309.32, 7,975.50 and 4,489.24 is: 6,743.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.32 : 7,975.50 = 4,489.24 : x
  2. Step 2: Convert to fraction form
    5,309.32/7,975.50 = 4,489.24/x
  3. Step 3: Cross multiply
    5,309.32x = 7,975.50 × 4,489.24
  4. Step 4: Simplify right side
    5,309.32x = 35,803,933.62
  5. Step 5: Solve for x
    x = 35,803,933.62/5,309.32
  6. Step 6: Final answer
    x = 6,743.60

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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.