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Finding the Fourth Proportional to 5,193.96, 7,784.46 and 2,597.64

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Solution

The fourth proportional to 5,193.96, 7,784.46 and 2,597.64 is: 3,893.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.96 : 7,784.46 = 2,597.64 : x
  2. Step 2: Convert to fraction form
    5,193.96/7,784.46 = 2,597.64/x
  3. Step 3: Cross multiply
    5,193.96x = 7,784.46 × 2,597.64
  4. Step 4: Simplify right side
    5,193.96x = 20,221,224.67
  5. Step 5: Solve for x
    x = 20,221,224.67/5,193.96
  6. Step 6: Final answer
    x = 3,893.22

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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.