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Finding the Fourth Proportional to 5,797.53, 7,996.95 and 3,438

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Solution

The fourth proportional to 5,797.53, 7,996.95 and 3,438 is: 4,742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.53 : 7,996.95 = 3,438 : x
  2. Step 2: Convert to fraction form
    5,797.53/7,996.95 = 3,438/x
  3. Step 3: Cross multiply
    5,797.53x = 7,996.95 × 3,438
  4. Step 4: Simplify right side
    5,797.53x = 27,493,514.10
  5. Step 5: Solve for x
    x = 27,493,514.10/5,797.53
  6. Step 6: Final answer
    x = 4,742.28

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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.