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Finding the Fourth Proportional to 4,664.78, 6,437.40 and 2,540.30

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Solution

The fourth proportional to 4,664.78, 6,437.40 and 2,540.30 is: 3,505.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.78 : 6,437.40 = 2,540.30 : x
  2. Step 2: Convert to fraction form
    4,664.78/6,437.40 = 2,540.30/x
  3. Step 3: Cross multiply
    4,664.78x = 6,437.40 × 2,540.30
  4. Step 4: Simplify right side
    4,664.78x = 16,352,927.22
  5. Step 5: Solve for x
    x = 16,352,927.22/4,664.78
  6. Step 6: Final answer
    x = 3,505.62

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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.