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Finding the Fourth Proportional to 5,047.17, 6,965.31 and 2,808.96

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Solution

The fourth proportional to 5,047.17, 6,965.31 and 2,808.96 is: 3,876.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.17 : 6,965.31 = 2,808.96 : x
  2. Step 2: Convert to fraction form
    5,047.17/6,965.31 = 2,808.96/x
  3. Step 3: Cross multiply
    5,047.17x = 6,965.31 × 2,808.96
  4. Step 4: Simplify right side
    5,047.17x = 19,565,277.18
  5. Step 5: Solve for x
    x = 19,565,277.18/5,047.17
  6. Step 6: Final answer
    x = 3,876.48

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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.