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Finding the Fourth Proportional to 3,931.12, 5,889.72 and 2,078.12

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Solution

The fourth proportional to 3,931.12, 5,889.72 and 2,078.12 is: 3,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.12 : 5,889.72 = 2,078.12 : x
  2. Step 2: Convert to fraction form
    3,931.12/5,889.72 = 2,078.12/x
  3. Step 3: Cross multiply
    3,931.12x = 5,889.72 × 2,078.12
  4. Step 4: Simplify right side
    3,931.12x = 12,239,544.93
  5. Step 5: Solve for x
    x = 12,239,544.93/3,931.12
  6. Step 6: Final answer
    x = 3,113.50

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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.