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Finding the Fourth Proportional to 4,013.82, 5,980.50 and 3,577.32

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Solution

The fourth proportional to 4,013.82, 5,980.50 and 3,577.32 is: 5,330.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013.82 : 5,980.50 = 3,577.32 : x
  2. Step 2: Convert to fraction form
    4,013.82/5,980.50 = 3,577.32/x
  3. Step 3: Cross multiply
    4,013.82x = 5,980.50 × 3,577.32
  4. Step 4: Simplify right side
    4,013.82x = 21,394,162.26
  5. Step 5: Solve for x
    x = 21,394,162.26/4,013.82
  6. Step 6: Final answer
    x = 5,330.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.