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Finding the Fourth Proportional to 6,204.56, 8,560.20 and 3,686

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Solution

The fourth proportional to 6,204.56, 8,560.20 and 3,686 is: 5,085.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.56 : 8,560.20 = 3,686 : x
  2. Step 2: Convert to fraction form
    6,204.56/8,560.20 = 3,686/x
  3. Step 3: Cross multiply
    6,204.56x = 8,560.20 × 3,686
  4. Step 4: Simplify right side
    6,204.56x = 31,552,897.20
  5. Step 5: Solve for x
    x = 31,552,897.20/6,204.56
  6. Step 6: Final answer
    x = 5,085.44

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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.