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Finding the Fourth Proportional to 5,127.40, 7,689.21 and 1,843.21

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Solution

The fourth proportional to 5,127.40, 7,689.21 and 1,843.21 is: 2,764.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,127.40 : 7,689.21 = 1,843.21 : x
  2. Step 2: Convert to fraction form
    5,127.40/7,689.21 = 1,843.21/x
  3. Step 3: Cross multiply
    5,127.40x = 7,689.21 × 1,843.21
  4. Step 4: Simplify right side
    5,127.40x = 14,172,828.76
  5. Step 5: Solve for x
    x = 14,172,828.76/5,127.40
  6. Step 6: Final answer
    x = 2,764.14

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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.