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Finding the Fourth Proportional to 5,416.85, 7,475.25 and 3,059.14

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Solution

The fourth proportional to 5,416.85, 7,475.25 and 3,059.14 is: 4,221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.85 : 7,475.25 = 3,059.14 : x
  2. Step 2: Convert to fraction form
    5,416.85/7,475.25 = 3,059.14/x
  3. Step 3: Cross multiply
    5,416.85x = 7,475.25 × 3,059.14
  4. Step 4: Simplify right side
    5,416.85x = 22,867,836.29
  5. Step 5: Solve for x
    x = 22,867,836.29/5,416.85
  6. Step 6: Final answer
    x = 4,221.61

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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.