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Finding the Fourth Proportional to 5,077.67, 7,609.35 and 2,406.43

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Solution

The fourth proportional to 5,077.67, 7,609.35 and 2,406.43 is: 3,606.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.67 : 7,609.35 = 2,406.43 : x
  2. Step 2: Convert to fraction form
    5,077.67/7,609.35 = 2,406.43/x
  3. Step 3: Cross multiply
    5,077.67x = 7,609.35 × 2,406.43
  4. Step 4: Simplify right side
    5,077.67x = 18,311,368.12
  5. Step 5: Solve for x
    x = 18,311,368.12/5,077.67
  6. Step 6: Final answer
    x = 3,606.25

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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.