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Finding the Fourth Proportional to 5,222.72, 7,833.22 and 1,935.04

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Solution

The fourth proportional to 5,222.72, 7,833.22 and 1,935.04 is: 2,902.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.72 : 7,833.22 = 1,935.04 : x
  2. Step 2: Convert to fraction form
    5,222.72/7,833.22 = 1,935.04/x
  3. Step 3: Cross multiply
    5,222.72x = 7,833.22 × 1,935.04
  4. Step 4: Simplify right side
    5,222.72x = 15,157,587.02
  5. Step 5: Solve for x
    x = 15,157,587.02/5,222.72
  6. Step 6: Final answer
    x = 2,902.24

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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.