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Finding the Fourth Proportional to 4,914.52, 6,782.16 and 2,676.49

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Solution

The fourth proportional to 4,914.52, 6,782.16 and 2,676.49 is: 3,693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.52 : 6,782.16 = 2,676.49 : x
  2. Step 2: Convert to fraction form
    4,914.52/6,782.16 = 2,676.49/x
  3. Step 3: Cross multiply
    4,914.52x = 6,782.16 × 2,676.49
  4. Step 4: Simplify right side
    4,914.52x = 18,152,349.51
  5. Step 5: Solve for x
    x = 18,152,349.51/4,914.52
  6. Step 6: Final answer
    x = 3,693.62

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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.