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Finding the Fourth Proportional to 4,892.69, 6,748.40 and 3,380.78

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Solution

The fourth proportional to 4,892.69, 6,748.40 and 3,380.78 is: 4,663.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.69 : 6,748.40 = 3,380.78 : x
  2. Step 2: Convert to fraction form
    4,892.69/6,748.40 = 3,380.78/x
  3. Step 3: Cross multiply
    4,892.69x = 6,748.40 × 3,380.78
  4. Step 4: Simplify right side
    4,892.69x = 22,814,881.07
  5. Step 5: Solve for x
    x = 22,814,881.07/4,892.69
  6. Step 6: Final answer
    x = 4,663.05

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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.