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Finding the Fourth Proportional to 4,914.92, 6,782.82 and 2,899.46

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Solution

The fourth proportional to 4,914.92, 6,782.82 and 2,899.46 is: 4,001.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.92 : 6,782.82 = 2,899.46 : x
  2. Step 2: Convert to fraction form
    4,914.92/6,782.82 = 2,899.46/x
  3. Step 3: Cross multiply
    4,914.92x = 6,782.82 × 2,899.46
  4. Step 4: Simplify right side
    4,914.92x = 19,666,515.28
  5. Step 5: Solve for x
    x = 19,666,515.28/4,914.92
  6. Step 6: Final answer
    x = 4,001.39

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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.