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Finding the Fourth Proportional to 3,497.48, 5,238.67 and 1,645.82

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Solution

The fourth proportional to 3,497.48, 5,238.67 and 1,645.82 is: 2,465.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.48 : 5,238.67 = 1,645.82 : x
  2. Step 2: Convert to fraction form
    3,497.48/5,238.67 = 1,645.82/x
  3. Step 3: Cross multiply
    3,497.48x = 5,238.67 × 1,645.82
  4. Step 4: Simplify right side
    3,497.48x = 8,621,907.86
  5. Step 5: Solve for x
    x = 8,621,907.86/3,497.48
  6. Step 6: Final answer
    x = 2,465.18

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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.