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Finding the Fourth Proportional to 3,699.82, 5,097.07 and 2,578.72

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Solution

The fourth proportional to 3,699.82, 5,097.07 and 2,578.72 is: 3,552.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.82 : 5,097.07 = 2,578.72 : x
  2. Step 2: Convert to fraction form
    3,699.82/5,097.07 = 2,578.72/x
  3. Step 3: Cross multiply
    3,699.82x = 5,097.07 × 2,578.72
  4. Step 4: Simplify right side
    3,699.82x = 13,143,903.46
  5. Step 5: Solve for x
    x = 13,143,903.46/3,699.82
  6. Step 6: Final answer
    x = 3,552.58

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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.