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Finding the Fourth Proportional to 5,234.94, 7,224.30 and 2,877.30

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Solution

The fourth proportional to 5,234.94, 7,224.30 and 2,877.30 is: 3,970.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.94 : 7,224.30 = 2,877.30 : x
  2. Step 2: Convert to fraction form
    5,234.94/7,224.30 = 2,877.30/x
  3. Step 3: Cross multiply
    5,234.94x = 7,224.30 × 2,877.30
  4. Step 4: Simplify right side
    5,234.94x = 20,786,478.39
  5. Step 5: Solve for x
    x = 20,786,478.39/5,234.94
  6. Step 6: Final answer
    x = 3,970.72

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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.