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Finding the Fourth Proportional to 5,609.42, 8,414.14 and 5,601.32

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Solution

The fourth proportional to 5,609.42, 8,414.14 and 5,601.32 is: 8,401.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.42 : 8,414.14 = 5,601.32 : x
  2. Step 2: Convert to fraction form
    5,609.42/8,414.14 = 5,601.32/x
  3. Step 3: Cross multiply
    5,609.42x = 8,414.14 × 5,601.32
  4. Step 4: Simplify right side
    5,609.42x = 47,130,290.66
  5. Step 5: Solve for x
    x = 47,130,290.66/5,609.42
  6. Step 6: Final answer
    x = 8,401.99

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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.