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Finding the Fourth Proportional to 3,973.82, 5,486.39 and 2,558.03

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Solution

The fourth proportional to 3,973.82, 5,486.39 and 2,558.03 is: 3,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.82 : 5,486.39 = 2,558.03 : x
  2. Step 2: Convert to fraction form
    3,973.82/5,486.39 = 2,558.03/x
  3. Step 3: Cross multiply
    3,973.82x = 5,486.39 × 2,558.03
  4. Step 4: Simplify right side
    3,973.82x = 14,034,309.99
  5. Step 5: Solve for x
    x = 14,034,309.99/3,973.82
  6. Step 6: Final answer
    x = 3,531.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.