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Finding the Fourth Proportional to 4,768.62, 6,581.48 and 2,780.34

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Solution

The fourth proportional to 4,768.62, 6,581.48 and 2,780.34 is: 3,837.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.62 : 6,581.48 = 2,780.34 : x
  2. Step 2: Convert to fraction form
    4,768.62/6,581.48 = 2,780.34/x
  3. Step 3: Cross multiply
    4,768.62x = 6,581.48 × 2,780.34
  4. Step 4: Simplify right side
    4,768.62x = 18,298,752.10
  5. Step 5: Solve for x
    x = 18,298,752.10/4,768.62
  6. Step 6: Final answer
    x = 3,837.33

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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.