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Finding the Fourth Proportional to 5,498.78, 8,245.64 and 2,377.30

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Solution

The fourth proportional to 5,498.78, 8,245.64 and 2,377.30 is: 3,564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.78 : 8,245.64 = 2,377.30 : x
  2. Step 2: Convert to fraction form
    5,498.78/8,245.64 = 2,377.30/x
  3. Step 3: Cross multiply
    5,498.78x = 8,245.64 × 2,377.30
  4. Step 4: Simplify right side
    5,498.78x = 19,602,359.97
  5. Step 5: Solve for x
    x = 19,602,359.97/5,498.78
  6. Step 6: Final answer
    x = 3,564.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.