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Finding the Fourth Proportional to 3,911.39, 5,863.43 and 1,312.50

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Solution

The fourth proportional to 3,911.39, 5,863.43 and 1,312.50 is: 1,967.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.39 : 5,863.43 = 1,312.50 : x
  2. Step 2: Convert to fraction form
    3,911.39/5,863.43 = 1,312.50/x
  3. Step 3: Cross multiply
    3,911.39x = 5,863.43 × 1,312.50
  4. Step 4: Simplify right side
    3,911.39x = 7,695,745.31
  5. Step 5: Solve for x
    x = 7,695,745.31/3,911.39
  6. Step 6: Final answer
    x = 1,967.52

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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.