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Finding the Fourth Proportional to 4,064.34, 5,609.07 and 2,471.61

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Solution

The fourth proportional to 4,064.34, 5,609.07 and 2,471.61 is: 3,410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064.34 : 5,609.07 = 2,471.61 : x
  2. Step 2: Convert to fraction form
    4,064.34/5,609.07 = 2,471.61/x
  3. Step 3: Cross multiply
    4,064.34x = 5,609.07 × 2,471.61
  4. Step 4: Simplify right side
    4,064.34x = 13,863,433.50
  5. Step 5: Solve for x
    x = 13,863,433.50/4,064.34
  6. Step 6: Final answer
    x = 3,410.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.