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Finding the Fourth Proportional to 3,920.75, 5,878.02 and 2,684.40

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Solution

The fourth proportional to 3,920.75, 5,878.02 and 2,684.40 is: 4,024.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.75 : 5,878.02 = 2,684.40 : x
  2. Step 2: Convert to fraction form
    3,920.75/5,878.02 = 2,684.40/x
  3. Step 3: Cross multiply
    3,920.75x = 5,878.02 × 2,684.40
  4. Step 4: Simplify right side
    3,920.75x = 15,778,956.89
  5. Step 5: Solve for x
    x = 15,778,956.89/3,920.75
  6. Step 6: Final answer
    x = 4,024.48

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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.