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Finding the Fourth Proportional to 5,047.84, 6,966 and 2,809.84

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Solution

The fourth proportional to 5,047.84, 6,966 and 2,809.84 is: 3,877.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.84 : 6,966 = 2,809.84 : x
  2. Step 2: Convert to fraction form
    5,047.84/6,966 = 2,809.84/x
  3. Step 3: Cross multiply
    5,047.84x = 6,966 × 2,809.84
  4. Step 4: Simplify right side
    5,047.84x = 19,573,345.44
  5. Step 5: Solve for x
    x = 19,573,345.44/5,047.84
  6. Step 6: Final answer
    x = 3,877.57

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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.