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Finding the Fourth Proportional to 3,558.80, 5,338.74 and 1,709.58

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Solution

The fourth proportional to 3,558.80, 5,338.74 and 1,709.58 is: 2,564.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,558.80 : 5,338.74 = 1,709.58 : x
  2. Step 2: Convert to fraction form
    3,558.80/5,338.74 = 1,709.58/x
  3. Step 3: Cross multiply
    3,558.80x = 5,338.74 × 1,709.58
  4. Step 4: Simplify right side
    3,558.80x = 9,127,003.13
  5. Step 5: Solve for x
    x = 9,127,003.13/3,558.80
  6. Step 6: Final answer
    x = 2,564.63

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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.