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Finding the Fourth Proportional to 4,994.50, 6,939.72 and 4,942.45

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Solution

The fourth proportional to 4,994.50, 6,939.72 and 4,942.45 is: 6,867.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,994.50 : 6,939.72 = 4,942.45 : x
  2. Step 2: Convert to fraction form
    4,994.50/6,939.72 = 4,942.45/x
  3. Step 3: Cross multiply
    4,994.50x = 6,939.72 × 4,942.45
  4. Step 4: Simplify right side
    4,994.50x = 34,299,219.11
  5. Step 5: Solve for x
    x = 34,299,219.11/4,994.50
  6. Step 6: Final answer
    x = 6,867.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.