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Finding the Fourth Proportional to 5,742.96, 8,597.70 and 4,268.70

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Solution

The fourth proportional to 5,742.96, 8,597.70 and 4,268.70 is: 6,390.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.96 : 8,597.70 = 4,268.70 : x
  2. Step 2: Convert to fraction form
    5,742.96/8,597.70 = 4,268.70/x
  3. Step 3: Cross multiply
    5,742.96x = 8,597.70 × 4,268.70
  4. Step 4: Simplify right side
    5,742.96x = 36,701,001.99
  5. Step 5: Solve for x
    x = 36,701,001.99/5,742.96
  6. Step 6: Final answer
    x = 6,390.61

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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.