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Finding the Fourth Proportional to 5,222.94, 7,207.65 and 2,865.08

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Solution

The fourth proportional to 5,222.94, 7,207.65 and 2,865.08 is: 3,953.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.94 : 7,207.65 = 2,865.08 : x
  2. Step 2: Convert to fraction form
    5,222.94/7,207.65 = 2,865.08/x
  3. Step 3: Cross multiply
    5,222.94x = 7,207.65 × 2,865.08
  4. Step 4: Simplify right side
    5,222.94x = 20,650,493.86
  5. Step 5: Solve for x
    x = 20,650,493.86/5,222.94
  6. Step 6: Final answer
    x = 3,953.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.