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Finding the Fourth Proportional to 3,462.66, 5,196.74 and 1,612.83

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Solution

The fourth proportional to 3,462.66, 5,196.74 and 1,612.83 is: 2,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.66 : 5,196.74 = 1,612.83 : x
  2. Step 2: Convert to fraction form
    3,462.66/5,196.74 = 1,612.83/x
  3. Step 3: Cross multiply
    3,462.66x = 5,196.74 × 1,612.83
  4. Step 4: Simplify right side
    3,462.66x = 8,381,450.11
  5. Step 5: Solve for x
    x = 8,381,450.11/3,462.66
  6. Step 6: Final answer
    x = 2,420.52

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1.5x scale

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.