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Finding the Fourth Proportional to 5,309.76, 7,328.12 and 3,213.88

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Solution

The fourth proportional to 5,309.76, 7,328.12 and 3,213.88 is: 4,435.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.76 : 7,328.12 = 3,213.88 : x
  2. Step 2: Convert to fraction form
    5,309.76/7,328.12 = 3,213.88/x
  3. Step 3: Cross multiply
    5,309.76x = 7,328.12 × 3,213.88
  4. Step 4: Simplify right side
    5,309.76x = 23,551,698.31
  5. Step 5: Solve for x
    x = 23,551,698.31/5,309.76
  6. Step 6: Final answer
    x = 4,435.55

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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.