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Finding the Fourth Proportional to 5,527.78, 7,631.50 and 3,644.84

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Solution

The fourth proportional to 5,527.78, 7,631.50 and 3,644.84 is: 5,031.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,527.78 : 7,631.50 = 3,644.84 : x
  2. Step 2: Convert to fraction form
    5,527.78/7,631.50 = 3,644.84/x
  3. Step 3: Cross multiply
    5,527.78x = 7,631.50 × 3,644.84
  4. Step 4: Simplify right side
    5,527.78x = 27,815,596.46
  5. Step 5: Solve for x
    x = 27,815,596.46/5,527.78
  6. Step 6: Final answer
    x = 5,031.97

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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.