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Finding the Fourth Proportional to 6,085.82, 8,397.60 and 3,727.46

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Solution

The fourth proportional to 6,085.82, 8,397.60 and 3,727.46 is: 5,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.82 : 8,397.60 = 3,727.46 : x
  2. Step 2: Convert to fraction form
    6,085.82/8,397.60 = 3,727.46/x
  3. Step 3: Cross multiply
    6,085.82x = 8,397.60 × 3,727.46
  4. Step 4: Simplify right side
    6,085.82x = 31,301,718.10
  5. Step 5: Solve for x
    x = 31,301,718.10/6,085.82
  6. Step 6: Final answer
    x = 5,143.39

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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.