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Finding the Fourth Proportional to 5,045, 6,963.06 and 2,837

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Solution

The fourth proportional to 5,045, 6,963.06 and 2,837 is: 3,915.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,045 : 6,963.06 = 2,837 : x
  2. Step 2: Convert to fraction form
    5,045/6,963.06 = 2,837/x
  3. Step 3: Cross multiply
    5,045x = 6,963.06 × 2,837
  4. Step 4: Simplify right side
    5,045x = 19,754,201.22
  5. Step 5: Solve for x
    x = 19,754,201.22/5,045
  6. Step 6: Final answer
    x = 3,915.60

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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.