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Finding the Fourth Proportional to 3,869.10, 5,805.87 and 1,678.05

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Solution

The fourth proportional to 3,869.10, 5,805.87 and 1,678.05 is: 2,518.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.10 : 5,805.87 = 1,678.05 : x
  2. Step 2: Convert to fraction form
    3,869.10/5,805.87 = 1,678.05/x
  3. Step 3: Cross multiply
    3,869.10x = 5,805.87 × 1,678.05
  4. Step 4: Simplify right side
    3,869.10x = 9,742,540.15
  5. Step 5: Solve for x
    x = 9,742,540.15/3,869.10
  6. Step 6: Final answer
    x = 2,518.04

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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.