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Finding the Fourth Proportional to 3,838.12, 5,751.91 and 1,645.45

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Solution

The fourth proportional to 3,838.12, 5,751.91 and 1,645.45 is: 2,465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.12 : 5,751.91 = 1,645.45 : x
  2. Step 2: Convert to fraction form
    3,838.12/5,751.91 = 1,645.45/x
  3. Step 3: Cross multiply
    3,838.12x = 5,751.91 × 1,645.45
  4. Step 4: Simplify right side
    3,838.12x = 9,464,480.31
  5. Step 5: Solve for x
    x = 9,464,480.31/3,838.12
  6. Step 6: Final answer
    x = 2,465.92

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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.