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Finding the Fourth Proportional to 3,678.24, 5,071.10 and 3,046.44

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Solution

The fourth proportional to 3,678.24, 5,071.10 and 3,046.44 is: 4,200.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.24 : 5,071.10 = 3,046.44 : x
  2. Step 2: Convert to fraction form
    3,678.24/5,071.10 = 3,046.44/x
  3. Step 3: Cross multiply
    3,678.24x = 5,071.10 × 3,046.44
  4. Step 4: Simplify right side
    3,678.24x = 15,448,786.65
  5. Step 5: Solve for x
    x = 15,448,786.65/3,678.24
  6. Step 6: Final answer
    x = 4,200.05

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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.