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Finding the Fourth Proportional to 4,933, 6,807.59 and 2,837.17

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Solution

The fourth proportional to 4,933, 6,807.59 and 2,837.17 is: 3,915.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933 : 6,807.59 = 2,837.17 : x
  2. Step 2: Convert to fraction form
    4,933/6,807.59 = 2,837.17/x
  3. Step 3: Cross multiply
    4,933x = 6,807.59 × 2,837.17
  4. Step 4: Simplify right side
    4,933x = 19,314,290.12
  5. Step 5: Solve for x
    x = 19,314,290.12/4,933
  6. Step 6: Final answer
    x = 3,915.32

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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.