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Finding the Fourth Proportional to 5,285.27, 7,294.66 and 3,776.91

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Solution

The fourth proportional to 5,285.27, 7,294.66 and 3,776.91 is: 5,212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.27 : 7,294.66 = 3,776.91 : x
  2. Step 2: Convert to fraction form
    5,285.27/7,294.66 = 3,776.91/x
  3. Step 3: Cross multiply
    5,285.27x = 7,294.66 × 3,776.91
  4. Step 4: Simplify right side
    5,285.27x = 27,551,255.42
  5. Step 5: Solve for x
    x = 27,551,255.42/5,285.27
  6. Step 6: Final answer
    x = 5,212.84

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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.