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Finding the Fourth Proportional to 5,047.88, 6,965.27 and 2,809.70

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Solution

The fourth proportional to 5,047.88, 6,965.27 and 2,809.70 is: 3,876.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.88 : 6,965.27 = 2,809.70 : x
  2. Step 2: Convert to fraction form
    5,047.88/6,965.27 = 2,809.70/x
  3. Step 3: Cross multiply
    5,047.88x = 6,965.27 × 2,809.70
  4. Step 4: Simplify right side
    5,047.88x = 19,570,322.48
  5. Step 5: Solve for x
    x = 19,570,322.48/5,047.88
  6. Step 6: Final answer
    x = 3,876.94

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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.