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Finding the Fourth Proportional to 6,086.68, 8,395.44 and 3,730

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Solution

The fourth proportional to 6,086.68, 8,395.44 and 3,730 is: 5,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.68 : 8,395.44 = 3,730 : x
  2. Step 2: Convert to fraction form
    6,086.68/8,395.44 = 3,730/x
  3. Step 3: Cross multiply
    6,086.68x = 8,395.44 × 3,730
  4. Step 4: Simplify right side
    6,086.68x = 31,314,991.20
  5. Step 5: Solve for x
    x = 31,314,991.20/6,086.68
  6. Step 6: Final answer
    x = 5,144.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.