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Finding the Fourth Proportional to 3,425.69, 5,138.64 and 1,345.61

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Solution

The fourth proportional to 3,425.69, 5,138.64 and 1,345.61 is: 2,018.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.69 : 5,138.64 = 1,345.61 : x
  2. Step 2: Convert to fraction form
    3,425.69/5,138.64 = 1,345.61/x
  3. Step 3: Cross multiply
    3,425.69x = 5,138.64 × 1,345.61
  4. Step 4: Simplify right side
    3,425.69x = 6,914,618.22
  5. Step 5: Solve for x
    x = 6,914,618.22/3,425.69
  6. Step 6: Final answer
    x = 2,018.46

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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.