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Finding the Fourth Proportional to 4,540.86, 6,810.14 and 1,619.17

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Solution

The fourth proportional to 4,540.86, 6,810.14 and 1,619.17 is: 2,428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540.86 : 6,810.14 = 1,619.17 : x
  2. Step 2: Convert to fraction form
    4,540.86/6,810.14 = 1,619.17/x
  3. Step 3: Cross multiply
    4,540.86x = 6,810.14 × 1,619.17
  4. Step 4: Simplify right side
    4,540.86x = 11,026,761.41
  5. Step 5: Solve for x
    x = 11,026,761.41/4,540.86
  6. Step 6: Final answer
    x = 2,428.34

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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.