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Finding the Fourth Proportional to 3,138.92, 4,685.45 and 2,910.50

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Solution

The fourth proportional to 3,138.92, 4,685.45 and 2,910.50 is: 4,344.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.92 : 4,685.45 = 2,910.50 : x
  2. Step 2: Convert to fraction form
    3,138.92/4,685.45 = 2,910.50/x
  3. Step 3: Cross multiply
    3,138.92x = 4,685.45 × 2,910.50
  4. Step 4: Simplify right side
    3,138.92x = 13,637,002.23
  5. Step 5: Solve for x
    x = 13,637,002.23/3,138.92
  6. Step 6: Final answer
    x = 4,344.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.