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Finding the Fourth Proportional to 5,197.34, 7,784.26 and 3,644.24

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Solution

The fourth proportional to 5,197.34, 7,784.26 and 3,644.24 is: 5,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.34 : 7,784.26 = 3,644.24 : x
  2. Step 2: Convert to fraction form
    5,197.34/7,784.26 = 3,644.24/x
  3. Step 3: Cross multiply
    5,197.34x = 7,784.26 × 3,644.24
  4. Step 4: Simplify right side
    5,197.34x = 28,367,711.66
  5. Step 5: Solve for x
    x = 28,367,711.66/5,197.34
  6. Step 6: Final answer
    x = 5,458.12

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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.