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Finding the Fourth Proportional to 4,894.80, 7,336.80 and 2,705.10

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Solution

The fourth proportional to 4,894.80, 7,336.80 and 2,705.10 is: 4,054.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.80 : 7,336.80 = 2,705.10 : x
  2. Step 2: Convert to fraction form
    4,894.80/7,336.80 = 2,705.10/x
  3. Step 3: Cross multiply
    4,894.80x = 7,336.80 × 2,705.10
  4. Step 4: Simplify right side
    4,894.80x = 19,846,777.68
  5. Step 5: Solve for x
    x = 19,846,777.68/4,894.80
  6. Step 6: Final answer
    x = 4,054.67

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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.