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Finding the Fourth Proportional to 5,797.28, 7,992.78 and 4,734.02

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Solution

The fourth proportional to 5,797.28, 7,992.78 and 4,734.02 is: 6,526.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.28 : 7,992.78 = 4,734.02 : x
  2. Step 2: Convert to fraction form
    5,797.28/7,992.78 = 4,734.02/x
  3. Step 3: Cross multiply
    5,797.28x = 7,992.78 × 4,734.02
  4. Step 4: Simplify right side
    5,797.28x = 37,837,980.38
  5. Step 5: Solve for x
    x = 37,837,980.38/5,797.28
  6. Step 6: Final answer
    x = 6,526.85

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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.