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Finding the Fourth Proportional to 5,234.84, 7,224.12 and 2,876.98

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Solution

The fourth proportional to 5,234.84, 7,224.12 and 2,876.98 is: 3,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.84 : 7,224.12 = 2,876.98 : x
  2. Step 2: Convert to fraction form
    5,234.84/7,224.12 = 2,876.98/x
  3. Step 3: Cross multiply
    5,234.84x = 7,224.12 × 2,876.98
  4. Step 4: Simplify right side
    5,234.84x = 20,783,648.76
  5. Step 5: Solve for x
    x = 20,783,648.76/5,234.84
  6. Step 6: Final answer
    x = 3,970.25

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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.