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Finding the Fourth Proportional to 4,321.84, 6,472.68 and 3,344.80

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Solution

The fourth proportional to 4,321.84, 6,472.68 and 3,344.80 is: 5,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.84 : 6,472.68 = 3,344.80 : x
  2. Step 2: Convert to fraction form
    4,321.84/6,472.68 = 3,344.80/x
  3. Step 3: Cross multiply
    4,321.84x = 6,472.68 × 3,344.80
  4. Step 4: Simplify right side
    4,321.84x = 21,649,820.06
  5. Step 5: Solve for x
    x = 21,649,820.06/4,321.84
  6. Step 6: Final answer
    x = 5,009.40

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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.