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Finding the Fourth Proportional to 5,504.31, 7,596.84 and 4,097.34

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Solution

The fourth proportional to 5,504.31, 7,596.84 and 4,097.34 is: 5,654.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504.31 : 7,596.84 = 4,097.34 : x
  2. Step 2: Convert to fraction form
    5,504.31/7,596.84 = 4,097.34/x
  3. Step 3: Cross multiply
    5,504.31x = 7,596.84 × 4,097.34
  4. Step 4: Simplify right side
    5,504.31x = 31,126,836.41
  5. Step 5: Solve for x
    x = 31,126,836.41/5,504.31
  6. Step 6: Final answer
    x = 5,654.99

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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.