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Finding the Fourth Proportional to 5,047.04, 6,965.07 and 2,809.04

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Solution

The fourth proportional to 5,047.04, 6,965.07 and 2,809.04 is: 3,876.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.04 : 6,965.07 = 2,809.04 : x
  2. Step 2: Convert to fraction form
    5,047.04/6,965.07 = 2,809.04/x
  3. Step 3: Cross multiply
    5,047.04x = 6,965.07 × 2,809.04
  4. Step 4: Simplify right side
    5,047.04x = 19,565,160.23
  5. Step 5: Solve for x
    x = 19,565,160.23/5,047.04
  6. Step 6: Final answer
    x = 3,876.56

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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.