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Finding the Fourth Proportional to 3,410.76, 5,118 and 3,162.90

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Solution

The fourth proportional to 3,410.76, 5,118 and 3,162.90 is: 4,746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.76 : 5,118 = 3,162.90 : x
  2. Step 2: Convert to fraction form
    3,410.76/5,118 = 3,162.90/x
  3. Step 3: Cross multiply
    3,410.76x = 5,118 × 3,162.90
  4. Step 4: Simplify right side
    3,410.76x = 16,187,722.20
  5. Step 5: Solve for x
    x = 16,187,722.20/3,410.76
  6. Step 6: Final answer
    x = 4,746.07

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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.