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Finding the Fourth Proportional to 4,068.54, 6,096.45 and 3,146.37

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Solution

The fourth proportional to 4,068.54, 6,096.45 and 3,146.37 is: 4,714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.54 : 6,096.45 = 3,146.37 : x
  2. Step 2: Convert to fraction form
    4,068.54/6,096.45 = 3,146.37/x
  3. Step 3: Cross multiply
    4,068.54x = 6,096.45 × 3,146.37
  4. Step 4: Simplify right side
    4,068.54x = 19,181,687.39
  5. Step 5: Solve for x
    x = 19,181,687.39/4,068.54
  6. Step 6: Final answer
    x = 4,714.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.