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Finding the Fourth Proportional to 5,678.01, 8,518.64 and 2,389.41

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Solution

The fourth proportional to 5,678.01, 8,518.64 and 2,389.41 is: 3,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.01 : 8,518.64 = 2,389.41 : x
  2. Step 2: Convert to fraction form
    5,678.01/8,518.64 = 2,389.41/x
  3. Step 3: Cross multiply
    5,678.01x = 8,518.64 × 2,389.41
  4. Step 4: Simplify right side
    5,678.01x = 20,354,511.66
  5. Step 5: Solve for x
    x = 20,354,511.66/5,678.01
  6. Step 6: Final answer
    x = 3,584.80

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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.