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Finding the Fourth Proportional to 4,933, 6,802.50 and 3,255.40

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Solution

The fourth proportional to 4,933, 6,802.50 and 3,255.40 is: 4,489.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933 : 6,802.50 = 3,255.40 : x
  2. Step 2: Convert to fraction form
    4,933/6,802.50 = 3,255.40/x
  3. Step 3: Cross multiply
    4,933x = 6,802.50 × 3,255.40
  4. Step 4: Simplify right side
    4,933x = 22,144,858.50
  5. Step 5: Solve for x
    x = 22,144,858.50/4,933
  6. Step 6: Final answer
    x = 4,489.13

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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.