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Finding the Fourth Proportional to 4,097.69, 6,141.88 and 3,603.14

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Solution

The fourth proportional to 4,097.69, 6,141.88 and 3,603.14 is: 5,400.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.69 : 6,141.88 = 3,603.14 : x
  2. Step 2: Convert to fraction form
    4,097.69/6,141.88 = 3,603.14/x
  3. Step 3: Cross multiply
    4,097.69x = 6,141.88 × 3,603.14
  4. Step 4: Simplify right side
    4,097.69x = 22,130,028.68
  5. Step 5: Solve for x
    x = 22,130,028.68/4,097.69
  6. Step 6: Final answer
    x = 5,400.61

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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.