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Finding the Fourth Proportional to 3,492.68, 4,809.78 and 3,270.33

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Solution

The fourth proportional to 3,492.68, 4,809.78 and 3,270.33 is: 4,503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.68 : 4,809.78 = 3,270.33 : x
  2. Step 2: Convert to fraction form
    3,492.68/4,809.78 = 3,270.33/x
  3. Step 3: Cross multiply
    3,492.68x = 4,809.78 × 3,270.33
  4. Step 4: Simplify right side
    3,492.68x = 15,729,567.83
  5. Step 5: Solve for x
    x = 15,729,567.83/3,492.68
  6. Step 6: Final answer
    x = 4,503.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.