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Finding the Fourth Proportional to 5,665.54, 8,498.31 and 1,770.28

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Solution

The fourth proportional to 5,665.54, 8,498.31 and 1,770.28 is: 2,655.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.54 : 8,498.31 = 1,770.28 : x
  2. Step 2: Convert to fraction form
    5,665.54/8,498.31 = 1,770.28/x
  3. Step 3: Cross multiply
    5,665.54x = 8,498.31 × 1,770.28
  4. Step 4: Simplify right side
    5,665.54x = 15,044,388.23
  5. Step 5: Solve for x
    x = 15,044,388.23/5,665.54
  6. Step 6: Final answer
    x = 2,655.42

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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.