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Finding the Fourth Proportional to 4,938.79, 6,809.56 and 3,259.66

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Solution

The fourth proportional to 4,938.79, 6,809.56 and 3,259.66 is: 4,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.79 : 6,809.56 = 3,259.66 : x
  2. Step 2: Convert to fraction form
    4,938.79/6,809.56 = 3,259.66/x
  3. Step 3: Cross multiply
    4,938.79x = 6,809.56 × 3,259.66
  4. Step 4: Simplify right side
    4,938.79x = 22,196,850.35
  5. Step 5: Solve for x
    x = 22,196,850.35/4,938.79
  6. Step 6: Final answer
    x = 4,494.39

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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.