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Finding the Fourth Proportional to 5,590, 7,715.82 and 3,727

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Solution

The fourth proportional to 5,590, 7,715.82 and 3,727 is: 5,144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590 : 7,715.82 = 3,727 : x
  2. Step 2: Convert to fraction form
    5,590/7,715.82 = 3,727/x
  3. Step 3: Cross multiply
    5,590x = 7,715.82 × 3,727
  4. Step 4: Simplify right side
    5,590x = 28,756,861.14
  5. Step 5: Solve for x
    x = 28,756,861.14/5,590
  6. Step 6: Final answer
    x = 5,144.34

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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.