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Finding the Fourth Proportional to 5,229.34, 7,845.48 and 2,597.64

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Solution

The fourth proportional to 5,229.34, 7,845.48 and 2,597.64 is: 3,897.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.34 : 7,845.48 = 2,597.64 : x
  2. Step 2: Convert to fraction form
    5,229.34/7,845.48 = 2,597.64/x
  3. Step 3: Cross multiply
    5,229.34x = 7,845.48 × 2,597.64
  4. Step 4: Simplify right side
    5,229.34x = 20,379,732.67
  5. Step 5: Solve for x
    x = 20,379,732.67/5,229.34
  6. Step 6: Final answer
    x = 3,897.19

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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.