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Finding the Fourth Proportional to 5,193.59, 7,783.90 and 2,597.27

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Solution

The fourth proportional to 5,193.59, 7,783.90 and 2,597.27 is: 3,892.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.59 : 7,783.90 = 2,597.27 : x
  2. Step 2: Convert to fraction form
    5,193.59/7,783.90 = 2,597.27/x
  3. Step 3: Cross multiply
    5,193.59x = 7,783.90 × 2,597.27
  4. Step 4: Simplify right side
    5,193.59x = 20,216,844.54
  5. Step 5: Solve for x
    x = 20,216,844.54/5,193.59
  6. Step 6: Final answer
    x = 3,892.66

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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.