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Finding the Fourth Proportional to 5,644.80, 8,461.62 and 2,678.03

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Solution

The fourth proportional to 5,644.80, 8,461.62 and 2,678.03 is: 4,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.80 : 8,461.62 = 2,678.03 : x
  2. Step 2: Convert to fraction form
    5,644.80/8,461.62 = 2,678.03/x
  3. Step 3: Cross multiply
    5,644.80x = 8,461.62 × 2,678.03
  4. Step 4: Simplify right side
    5,644.80x = 22,660,429.90
  5. Step 5: Solve for x
    x = 22,660,429.90/5,644.80
  6. Step 6: Final answer
    x = 4,014.39

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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.