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Finding the Fourth Proportional to 3,852.07, 5,781.38 and 1,513.71

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Solution

The fourth proportional to 3,852.07, 5,781.38 and 1,513.71 is: 2,271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.07 : 5,781.38 = 1,513.71 : x
  2. Step 2: Convert to fraction form
    3,852.07/5,781.38 = 1,513.71/x
  3. Step 3: Cross multiply
    3,852.07x = 5,781.38 × 1,513.71
  4. Step 4: Simplify right side
    3,852.07x = 8,751,336.50
  5. Step 5: Solve for x
    x = 8,751,336.50/3,852.07
  6. Step 6: Final answer
    x = 2,271.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.