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Finding the Fourth Proportional to 4,696.50, 7,050.84 and 3,146.42

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Solution

The fourth proportional to 4,696.50, 7,050.84 and 3,146.42 is: 4,723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.50 : 7,050.84 = 3,146.42 : x
  2. Step 2: Convert to fraction form
    4,696.50/7,050.84 = 3,146.42/x
  3. Step 3: Cross multiply
    4,696.50x = 7,050.84 × 3,146.42
  4. Step 4: Simplify right side
    4,696.50x = 22,184,903.99
  5. Step 5: Solve for x
    x = 22,184,903.99/4,696.50
  6. Step 6: Final answer
    x = 4,723.71

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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.