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Finding the Fourth Proportional to 4,682.00, 7,022.70 and 1,759.93

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Solution

The fourth proportional to 4,682.00, 7,022.70 and 1,759.93 is: 2,639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.00 : 7,022.70 = 1,759.93 : x
  2. Step 2: Convert to fraction form
    4,682.00/7,022.70 = 1,759.93/x
  3. Step 3: Cross multiply
    4,682.00x = 7,022.70 × 1,759.93
  4. Step 4: Simplify right side
    4,682.00x = 12,359,442.85
  5. Step 5: Solve for x
    x = 12,359,442.85/4,682.00
  6. Step 6: Final answer
    x = 2,639.78

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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.