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Finding the Fourth Proportional to 5,476.40, 7,560.50 and 3,777.42

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Solution

The fourth proportional to 5,476.40, 7,560.50 and 3,777.42 is: 5,214.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.40 : 7,560.50 = 3,777.42 : x
  2. Step 2: Convert to fraction form
    5,476.40/7,560.50 = 3,777.42/x
  3. Step 3: Cross multiply
    5,476.40x = 7,560.50 × 3,777.42
  4. Step 4: Simplify right side
    5,476.40x = 28,559,183.91
  5. Step 5: Solve for x
    x = 28,559,183.91/5,476.40
  6. Step 6: Final answer
    x = 5,214.96

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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.