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Finding the Fourth Proportional to 5,047.31, 6,964.53 and 2,893.55

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Solution

The fourth proportional to 5,047.31, 6,964.53 and 2,893.55 is: 3,992.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.31 : 6,964.53 = 2,893.55 : x
  2. Step 2: Convert to fraction form
    5,047.31/6,964.53 = 2,893.55/x
  3. Step 3: Cross multiply
    5,047.31x = 6,964.53 × 2,893.55
  4. Step 4: Simplify right side
    5,047.31x = 20,152,215.78
  5. Step 5: Solve for x
    x = 20,152,215.78/5,047.31
  6. Step 6: Final answer
    x = 3,992.66

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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.