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Finding the Fourth Proportional to 5,415.64, 7,474.40 and 3,930.30

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Solution

The fourth proportional to 5,415.64, 7,474.40 and 3,930.30 is: 5,424.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.64 : 7,474.40 = 3,930.30 : x
  2. Step 2: Convert to fraction form
    5,415.64/7,474.40 = 3,930.30/x
  3. Step 3: Cross multiply
    5,415.64x = 7,474.40 × 3,930.30
  4. Step 4: Simplify right side
    5,415.64x = 29,376,634.32
  5. Step 5: Solve for x
    x = 29,376,634.32/5,415.64
  6. Step 6: Final answer
    x = 5,424.41

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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.