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Finding the Fourth Proportional to 5,371, 7,409.46 and 3,799.96

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Solution

The fourth proportional to 5,371, 7,409.46 and 3,799.96 is: 5,242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371 : 7,409.46 = 3,799.96 : x
  2. Step 2: Convert to fraction form
    5,371/7,409.46 = 3,799.96/x
  3. Step 3: Cross multiply
    5,371x = 7,409.46 × 3,799.96
  4. Step 4: Simplify right side
    5,371x = 28,155,651.62
  5. Step 5: Solve for x
    x = 28,155,651.62/5,371
  6. Step 6: Final answer
    x = 5,242.16

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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.