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Finding the Fourth Proportional to 4,633.46, 6,949.23 and 1,709.76

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Solution

The fourth proportional to 4,633.46, 6,949.23 and 1,709.76 is: 2,564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.46 : 6,949.23 = 1,709.76 : x
  2. Step 2: Convert to fraction form
    4,633.46/6,949.23 = 1,709.76/x
  3. Step 3: Cross multiply
    4,633.46x = 6,949.23 × 1,709.76
  4. Step 4: Simplify right side
    4,633.46x = 11,881,535.13
  5. Step 5: Solve for x
    x = 11,881,535.13/4,633.46
  6. Step 6: Final answer
    x = 2,564.29

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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.