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Finding the Fourth Proportional to 5,537.76, 7,642.13 and 3,019.83

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Solution

The fourth proportional to 5,537.76, 7,642.13 and 3,019.83 is: 4,167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.76 : 7,642.13 = 3,019.83 : x
  2. Step 2: Convert to fraction form
    5,537.76/7,642.13 = 3,019.83/x
  3. Step 3: Cross multiply
    5,537.76x = 7,642.13 × 3,019.83
  4. Step 4: Simplify right side
    5,537.76x = 23,077,918.34
  5. Step 5: Solve for x
    x = 23,077,918.34/5,537.76
  6. Step 6: Final answer
    x = 4,167.37

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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.