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Finding the Fourth Proportional to 6,085.24, 8,398.02 and 3,727.06

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Solution

The fourth proportional to 6,085.24, 8,398.02 and 3,727.06 is: 5,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.24 : 8,398.02 = 3,727.06 : x
  2. Step 2: Convert to fraction form
    6,085.24/8,398.02 = 3,727.06/x
  3. Step 3: Cross multiply
    6,085.24x = 8,398.02 × 3,727.06
  4. Step 4: Simplify right side
    6,085.24x = 31,299,924.42
  5. Step 5: Solve for x
    x = 31,299,924.42/6,085.24
  6. Step 6: Final answer
    x = 5,143.58

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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.