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Finding the Fourth Proportional to 5,540.33, 7,646.31 and 4,047.50

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Solution

The fourth proportional to 5,540.33, 7,646.31 and 4,047.50 is: 5,586.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540.33 : 7,646.31 = 4,047.50 : x
  2. Step 2: Convert to fraction form
    5,540.33/7,646.31 = 4,047.50/x
  3. Step 3: Cross multiply
    5,540.33x = 7,646.31 × 4,047.50
  4. Step 4: Simplify right side
    5,540.33x = 30,948,458.84
  5. Step 5: Solve for x
    x = 30,948,458.84/5,540.33
  6. Step 6: Final answer
    x = 5,586.03

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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.