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Finding the Fourth Proportional to 5,234.60, 7,222.20 and 4,349

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Solution

The fourth proportional to 5,234.60, 7,222.20 and 4,349 is: 6,000.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.60 : 7,222.20 = 4,349 : x
  2. Step 2: Convert to fraction form
    5,234.60/7,222.20 = 4,349/x
  3. Step 3: Cross multiply
    5,234.60x = 7,222.20 × 4,349
  4. Step 4: Simplify right side
    5,234.60x = 31,409,347.80
  5. Step 5: Solve for x
    x = 31,409,347.80/5,234.60
  6. Step 6: Final answer
    x = 6,000.33

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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.