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Finding the Fourth Proportional to 5,416.59, 7,474.64 and 3,059.07

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Solution

The fourth proportional to 5,416.59, 7,474.64 and 3,059.07 is: 4,221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.59 : 7,474.64 = 3,059.07 : x
  2. Step 2: Convert to fraction form
    5,416.59/7,474.64 = 3,059.07/x
  3. Step 3: Cross multiply
    5,416.59x = 7,474.64 × 3,059.07
  4. Step 4: Simplify right side
    5,416.59x = 22,865,431.69
  5. Step 5: Solve for x
    x = 22,865,431.69/5,416.59
  6. Step 6: Final answer
    x = 4,221.37

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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.