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Finding the Fourth Proportional to 5,429.30, 7,493.92 and 5,059.94

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Solution

The fourth proportional to 5,429.30, 7,493.92 and 5,059.94 is: 6,984.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.30 : 7,493.92 = 5,059.94 : x
  2. Step 2: Convert to fraction form
    5,429.30/7,493.92 = 5,059.94/x
  3. Step 3: Cross multiply
    5,429.30x = 7,493.92 × 5,059.94
  4. Step 4: Simplify right side
    5,429.30x = 37,918,735.45
  5. Step 5: Solve for x
    x = 37,918,735.45/5,429.30
  6. Step 6: Final answer
    x = 6,984.10

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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.