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Finding the Fourth Proportional to 4,606.07, 6,910.83 and 2,758.49

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Solution

The fourth proportional to 4,606.07, 6,910.83 and 2,758.49 is: 4,138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.07 : 6,910.83 = 2,758.49 : x
  2. Step 2: Convert to fraction form
    4,606.07/6,910.83 = 2,758.49/x
  3. Step 3: Cross multiply
    4,606.07x = 6,910.83 × 2,758.49
  4. Step 4: Simplify right side
    4,606.07x = 19,063,455.45
  5. Step 5: Solve for x
    x = 19,063,455.45/4,606.07
  6. Step 6: Final answer
    x = 4,138.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.